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Journal articles on the topic 'Γ-convergence'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Braha, Naim Latif, Mikail Et та Yavuz Altin. "Almost lacunary statistical and strongly almost lacunary convergence of order (β,γ) of sequences of fuzzy numbers". Annals of the University of Craiova Mathematics and Computer Science Series 51, № 1 (2024): 82–89. http://dx.doi.org/10.52846/ami.v51i1.1746.

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The main purpose of this article is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of order (β,γ) of sequences of fuzzy numbers with respect to an Orlicz function. We give some relations between strongly almost lacunary convergence and almost lacunary statistical convergence of order (β,γ) of sequences of fuzzy numbers, where β and γ are two fixed real numbers such that 0 β≤γ≤1.

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2

Baxter, J., G. Dal Maso та U. Mosco. "Stopping Times and Γ-Convergence". Transactions of the American Mathematical Society 303, № 1 (1987): 1. http://dx.doi.org/10.2307/2000777.

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3

Bucur, Dorin. "Concentration-compacité et γ-convergence". Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327, № 3 (1998): 255–58. http://dx.doi.org/10.1016/s0764-4442(98)80142-0.

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4

Dal Maso, Gianni, та Umberto Mosco. "Wiener's criterion and Γ-convergence". Applied Mathematics and Optimization 15, № 1 (1987): 15–63. http://dx.doi.org/10.1007/bf01442645.

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5

Nguyen, Hoai-Minh. "Γ-convergence and Sobolev norms". Comptes Rendus Mathematique 345, № 12 (2007): 679–84. http://dx.doi.org/10.1016/j.crma.2007.11.005.

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6

Braides, Andrea, та Lev Truskinovsky. "Asymptotic expansions by Γ-convergence". Continuum Mechanics and Thermodynamics 20, № 1 (2008): 21–62. http://dx.doi.org/10.1007/s00161-008-0072-2.

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7

SOM, SUMIT. "A Note on Probability Convergence Defined by Unbounded Modulus Function and $alphabeta$-Statistical Convergence." Kragujevac Journal of Mathematics 45, no. 01 (2021): 127–38. http://dx.doi.org/10.46793/kgjmat2101.127s.

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In this paper we deﬁne f − αβ-statistical convergence of order γ in probability and f − αβ-strong p-Ces`aro summability of order γ in probability for a sequence of random variables under unbounded modulus function and examine the relation between these two concepts. We show by an example that this notion of f − αβ-statistical convergence of order γ in probability is stronger than αβ-statistical convergence of order γ in probability.

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8

Ansini, Nadia, Gianni Dal Maso та Caterina Ida Zeppieri. "Γ-convergence and H-convergence of linear elliptic operators". Journal de Mathématiques Pures et Appliquées 99, № 3 (2013): 321–29. http://dx.doi.org/10.1016/j.matpur.2012.09.004.

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9

Osorio Caballero, María Isabel. "¿ES PROCÍCLICA LA CONVERGENCIA DEL CRECIMIENTO ECONÓMICO DE AMÉRICA LATINA?" Investigación Económica 78, no. 307 (2019): 33. http://dx.doi.org/10.22201/fe.01851667p.2019.307.68446.

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<p align="center"><strong>RESUMEN</strong></p><p>Este trabajo examina la hipótesis de convergencia condicional del producto interno bruto (PIB) per cápita estableciendo una vinculación positiva con la tasa de crecimiento de un panel de 18 países de América Latina durante 1990-2015. Se emplea un análisis de β-convergencia, σ-convergencia y γ-convergencia. Además, para identificar la heterogeneidad espacial se analizan las relaciones entre unidades territoriales vecinas y el nivel de producto empleando el estadístico I de Moran. En general, todos los indicadores mue

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10

Velčić, Igor. "Shallow-shell models by Γ-convergence". Mathematics and Mechanics of Solids 17, № 8 (2012): 781–802. http://dx.doi.org/10.1177/1081286511429889.

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11

Mariano, Paolo Maria. "A. Braides, Γ–convergence for beginners". Meccanica 42, № 2 (2006): 211–12. http://dx.doi.org/10.1007/s11012-006-9030-x.

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12

Savin, Ovidiu, та Enrico Valdinoci. "Γ -convergence for nonlocal phase transitions". Annales de l'Institut Henri Poincare (C) Non Linear Analysis 29, № 4 (2012): 479–500. http://dx.doi.org/10.1016/j.anihpc.2012.01.006.

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13

Cagnetti, Filippo, Gianni Dal Maso, Lucia Scardia та Caterina Ida Zeppieri. "Γ-convergence of free-discontinuity problems". Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36, № 4 (2019): 1035–79. http://dx.doi.org/10.1016/j.anihpc.2018.11.003.

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14

Conti, Sergio, та Georg Dolzmann. "Γ-convergence for incompressible elastic plates". Calculus of Variations and Partial Differential Equations 34, № 4 (2008): 531–51. http://dx.doi.org/10.1007/s00526-008-0194-1.

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15

Liero, Matthias, та Stefano Melchionna. "The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems". ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 36. http://dx.doi.org/10.1051/cocv/2018023.

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We consider a family of doubly nonlinear evolution equations that is given by families of convex dissipation potentials, nonconvex energy functionals, and external forces parametrized by a small parameter ε. For each of these problems, we introduce the so-called weighted energy-dissipation (WED) functional, whose minimizers correspond to solutions of an elliptic-in-time regularization of the target problems with regularization parameter δ. We investigate the relation between the Γ-convergence of the WED functionals and evolutionary Γ-convergence of the associated systems. More precisely, we de

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16

Anza Hafsa, Omar, Jean Philippe Mandallena та Gérard Michaille. "Convergence of nonlinear integrodifferential reaction-diffusion equations via Mosco×Γ-convergence". Annales mathématiques Blaise Pascal 29, № 1 (2022): 1–50. http://dx.doi.org/10.5802/ambp.406.

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17

Kozera, Ryszard. "Asymptotics for Length and Trajectory from Cumulative Chord Piecewise-Quartics." Fundamenta Informaticae 61, no. 3-4 (2004): 267–83. https://doi.org/10.3233/fun-2004-613-405.

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We discuss the problem of estimating the trajectory of a regular curve γ:[0,T]→Rn and its length d(γ) from an ordered sample of interpolation points Qm={γ(t0),γ(t1),...,γ(tm)}, with tabular points ti's unknown, coined as interpolation of unparameterized data. The respective convergence orders for estimating γ and d(γ) with cumulative chord piecewise-quartics are established for different types of unparameterized data including egr-uniform and more-or-less uniform samplings. The latter extends previous results on cumulative chord piecewise-quadratics and piecewise-cubics. As shown herein, furth

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18

Velčić, Igor. "Nonlinear Weakly Curved Rod by Γ-Convergence". Journal of Elasticity 108, № 2 (2011): 125–50. http://dx.doi.org/10.1007/s10659-011-9358-x.

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19

Zhao, Jun-yan, and Ya-li Pan. "Certain averaging operators on Triebel-Lizorkin spaces." Applied Mathematics-A Journal of Chinese Universities 37, no. 4 (2022): 546–62. http://dx.doi.org/10.1007/s11766-022-4035-3.

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AbstractIn this article, we study the boundedness properties of the averaging operator S t γ on Triebel-Lizorkin spaces $$\dot F_{p,q}^\alpha \left( {{\mathbb{R}^n}} \right)$$ F ˙ p , q α ( ℝ n ) for various p,q. As an application, we obtain the norm convergence rate for S t γ (f) on Triebel-Lizorkin spaces and the relation between the smoothness imposed on functions and the rate of norm convergence of S t γ is given.

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20

Ferreira, Rita, та Diogo A. Gomes. "On the convergence of finite state mean-field games through Γ-convergence". Journal of Mathematical Analysis and Applications 418, № 1 (2014): 211–30. http://dx.doi.org/10.1016/j.jmaa.2014.02.044.

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21

Raj, Kuldip, Devia Narrania та Mohammad Mursaleen. "λ-statistical convergence of double sequences of functions via difference operators". Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 23, № 1 (2024): 47–60. https://doi.org/10.2478/aupcsm-2024-0006.

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Abstract The paper aims to investigate λ-statistical convergence using modulus function and a generalized difference operator for double sequences of functions for order γ ∈ (0, 1]. Further, we prove that the statistical convergence in the newly formed sequence spaces is not well defined for γ > 1. Finally, we examine relevant inclusion relations concerning λ-statistical convergence and strongly λ-summable in the environment of the newly defined classes of double sequences of functions. Some interesting examples related to the examined results are also discussed in this paper.

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22

Argyros, Ioannis K., та Santhosh George. "Extending the applicability of Newton’s method for variational inequality problems under Smale-Wang- γ criteria". Annals of West University of Timisoara - Mathematics and Computer Science 57, № 1 (2019): 43–52. http://dx.doi.org/10.2478/awutm-2019-0005.

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23

Camrud, Evan, David P. Herzog, Gabriel Stoltz, and Maria Gordina. "Weighted L ²-contractivity of Langevin dynamics with singular potentials." Nonlinearity 35, no. 2 (2021): 998–1035. http://dx.doi.org/10.1088/1361-6544/ac4152.

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Abstract Convergence to equilibrium of underdamped Langevin dynamics is studied under general assumptions on the potential U allowing for singularities. By modifying the direct approach to convergence in L 2 pioneered by Hérau and developed by Dolbeault et al, we show that the dynamics converges exponentially fast to equilibrium in the topologies L 2(dμ) and L 2(W* dμ), where μ denotes the invariant probability measure and W* is a suitable Lyapunov weight. In both norms, we make precise how the exponential convergence rate depends on the friction parameter γ in Langevin dynamics, by providing

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24

Próchniak, Mariusz. "Konwergencja beta, sigma i gamma krajów postsocjalistycznych do Europy Zachodniej." Rocznik Instytutu Europy Środkowo-Wschodniej 17, no. 1 (2019): 217–43. http://dx.doi.org/10.36874/riesw.2019.1.10.

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The study aims to verify the existence of convergence of 28 European Union (EU) members and 16 non-EU post-socialist countries. The analysis covers the 1995–2018 period. The research has also been conducted for shorter subperiods: 1995–2004, 2004–2018, and 2010–2018. Three types of convergence are taken into account: beta (less developed countries exhibit a faster rate of economic growth than more developed ones), sigma (income differentiation decreases over time), and gamma (countries change their ranks in the GDP per capita ranking). The study confirms the existence of β-, σ-, and γ-converge

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25

Yamaura, Yoshihiko. "A convergence of the approximated free boundary of regularized functionals via Γ-convergence". Journal of Computational and Applied Mathematics 218, № 2 (2008): 473–81. http://dx.doi.org/10.1016/j.cam.2007.07.010.

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26

Champion, Thierry, Luigi De Pascale та Francesca Prinari. "Γ-convergence and absolute minimizers for supremal functionals". ESAIM: Control, Optimisation and Calculus of Variations 10, № 1 (2004): 14–27. http://dx.doi.org/10.1051/cocv:2003036.

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27

Ansini, Nadia, та Adriana Garroni. "Γ-convergence of functionals on divergence-free fields". ESAIM: Control, Optimisation and Calculus of Variations 13, № 4 (2007): 809–28. http://dx.doi.org/10.1051/cocv:2007041.

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28

Zorgati, Hamdi. "A Γ-convergence result for optimal design problems". Comptes Rendus. Mathématique 360, G10 (2022): 1145–51. http://dx.doi.org/10.5802/crmath.375.

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29

Amar, M., та A. Braides. "Γ-Convergence of nonconvex functionals defined on measures". Nonlinear Analysis: Theory, Methods & Applications 34, № 7 (1998): 953–78. http://dx.doi.org/10.1016/s0362-546x(97)00558-0.

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30

Greco, Luigi. "On Γ−-convergence of functionals with analytic integrand". Annali di Matematica Pura ed Applicata 163, № 1 (1993): 291–312. http://dx.doi.org/10.1007/bf01759026.

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31

Manzo, Rosanna. "On $$\Gamma $$ Γ -convergence of vector-valued mappings". Positivity 18, № 4 (2014): 709–31. http://dx.doi.org/10.1007/s11117-013-0272-2.

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32

Paroni, Roberto, Paolo Podio-Guidugli та Giuseppe Tomassetti. "The Reissner–Mindlin plate theory via Γ-convergence". Comptes Rendus Mathematique 343, № 6 (2006): 437–40. http://dx.doi.org/10.1016/j.crma.2006.08.006.

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33

Raitums, U. "On Γ-convergence of pairs of dual functionals". Journal of Mathematical Analysis and Applications 376, № 2 (2011): 675–85. http://dx.doi.org/10.1016/j.jmaa.2010.10.033.

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34

Şençimen, Celaleddin, та Serpil Pehlivan. "Strong Γ-Statistical Convergence in Probabilistic Normed Spaces". Acta Mathematica Vietnamica 41, № 4 (2015): 595–606. http://dx.doi.org/10.1007/s40306-015-0158-4.

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35

Marques Alves, M., та J. G. Melo. "Strong Convergence in Hilbert Spaces via Γ-Duality". Journal of Optimization Theory and Applications 158, № 2 (2013): 343–62. http://dx.doi.org/10.1007/s10957-012-0253-9.

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36

Schmidt, Bernd, Sigrid Leyendecker та Michael Ortiz. "Γ-convergence of Variational Integrators for Constrained Systems". Journal of Nonlinear Science 19, № 2 (2008): 153–77. http://dx.doi.org/10.1007/s00332-008-9030-1.

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37

Savaş, Ekrem. "On lacunary strong invariant convergence with order γ". Filomat 38, № 32 (2024): 11325–31. https://doi.org/10.2298/fil2432325s.

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We known that the most vital part of summability theory is the sequence spaces. In this paper by using a modulus and the ?-function we shall introduce the new sequence space of order ? and also discuss some important properties related to this space. Additional we establish some inclusion relations among the these sequence spaces in some detail. We should strongly indicate that our new sequence space is more general than that of corresponding sequence space defined by Waszak, [25].

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38

Chandler-Wilde, Simon N., David P. Hewett, Andrea Moiola, and Jeanne Besson. "Boundary element methods for acoustic scattering by fractal screens." Numerische Mathematik 147, no. 4 (2021): 785–837. http://dx.doi.org/10.1007/s00211-021-01182-y.

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AbstractWe study boundary element methods for time-harmonic scattering in $${\mathbb {R}}^n$$ R n ($$n=2,3$$ n = 2 , 3 ) by a fractal planar screen, assumed to be a non-empty bounded subset $$\Gamma $$ Γ of the hyperplane $$\Gamma _\infty ={\mathbb {R}}^{n-1}\times \{0\}$$ Γ ∞ = R n - 1 × { 0 } . We consider two distinct cases: (i) $$\Gamma $$ Γ is a relatively open subset of $$\Gamma _\infty $$ Γ ∞ with fractal boundary (e.g. the interior of the Koch snowflake in the case $$n=3$$ n = 3 ); (ii) $$\Gamma $$ Γ is a compact fractal subset of $$\Gamma _\infty $$ Γ ∞ with empty interior (e.g. the S

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39

Kendall, Wilfrid S. "Convex geometry and nonconfluent γ-martingales II: well-posedness and γ-martingale convergence". Stochastics and Stochastic Reports 38, № 3 (1992): 135–47. http://dx.doi.org/10.1080/17442509208833751.

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40

Alouges, François, and Giovanni Di Fratta. "Homogenization of composite ferromagnetic materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2182 (2015): 20150365. http://dx.doi.org/10.1098/rspa.2015.0365.

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The objective of this paper is to perform, by means of Γ - convergence and two-scale convergence , a rigorous derivation of the homogenized Gibbs–Landau free energy functional associated with a composite periodic ferromagnetic material, i.e. a ferromagnetic material in which the heterogeneities are periodically distributed inside the media. We thus describe the Γ -limit of the Gibbs–Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.

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41

Gobbino, Massimo, and Maria Giovanna Mora. "Finite-difference approximation of free-discontinuity problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, no. 3 (2001): 567–95. http://dx.doi.org/10.1017/s0308210500001001.

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We approximate functionals depending on the gradient of u and on the behaviour of u near the discontinuity points by families of non-local functionals where the gradient is replaced by finite differences. We prove pointwise convergence, Γ-convergence and a compactness result, which implies, in particular, the convergence of minima and minimizers.

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42

Gobbino, Massimo, and Maria Giovanna Mora. "Finite-difference approximation of free-discontinuity problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, no. 3 (2001): 567–95. http://dx.doi.org/10.1017/s0308210501000257.

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We approximate functionals depending on the gradient of u and on the behaviour of u near the discontinuity points by families of non-local functionals where the gradient is replaced by finite differences. We prove pointwise convergence, Γ-convergence and a compactness result, which implies, in particular, the convergence of minima and minimizers.

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43

Mandouvalos, N. "Scattering operator and Eisenstein integral for Kleinian groups." Mathematical Proceedings of the Cambridge Philosophical Society 108, no. 2 (1990): 203–17. http://dx.doi.org/10.1017/s0305004100069085.

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In this paper we study certain aspects of the problem of analytic continuation of the scattering operator and Eisenstein integral which we introduced in [7, 8, 10], for Kleinian groups Γ with exponent of convergence δ(Γ) ≥ 1. The corresponding problem for groups with δ(Γ) < 1 was examined and solved in [9].

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44

PEDREGAL, PABLO, та HELIA SERRANO. "NON-PERIODIC Γ-CONVERGENCE: APPLICATION TO A MAIN EXAMPLE OF A NON-FINER OSCILLATION OPERATOR IN HIGHER DIMENSION". Analysis and Applications 10, № 01 (2012): 67–90. http://dx.doi.org/10.1142/s0219530512500042.

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We generalize, to a higher dimension, a main example of an operator that enjoys the NFO property introduced recently in [13]. It turns out that this issue is intimately connected to Γ-convergence of functionals in a non-periodic, general setting. Under a main structural assumption on the sequence of functionals, the Γ-convergence limit is computable. As a consequence of our analysis, we obtain the generalization just mentioned, opening thus the way to treat the existence for some nonlinear PDEs in divergence form.

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45

PARONI, ROBERTO, PAOLO PODIO-GUIDUGLI, and GIUSEPPE TOMASSETTI. "A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE." Analysis and Applications 05, no. 02 (2007): 165–82. http://dx.doi.org/10.1142/s0219530507000936.

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We provide a justification of the Reissner–Mindlin plate theory, using linear three-dimensional elasticity as framework and Γ-convergence as technical tool. Essential to our developments is the selection of a transversely isotropic material class whose stored energy depends on (first and) second gradients of the displacement field. Our choices of a candidate Γ-limit and a scaling law of the basic energy functional in terms of a thinness parameter are guided by mechanical and formal arguments that our variational convergence theorem is meant to validate mathematically.

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46

Beirlant, J., and E. Willekens. "Rapid variation with remainder and rates of convergence." Advances in Applied Probability 22, no. 4 (1990): 787–801. http://dx.doi.org/10.2307/1427562.

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In this paper, we refine the concept of Γ-variation up to second order, and we give a characterization of this type of asymptotic behaviour. We apply our results to obtain uniform rates of convergence in the weak convergence of renormalised sample maxima to the double exponential distribution. In a second application we derive a rate of convergence result for the Hill estimator.

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47

Beirlant, J., and E. Willekens. "Rapid variation with remainder and rates of convergence." Advances in Applied Probability 22, no. 04 (1990): 787–801. http://dx.doi.org/10.1017/s0001867800023132.

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In this paper, we refine the concept of Γ-variation up to second order, and we give a characterization of this type of asymptotic behaviour. We apply our results to obtain uniform rates of convergence in the weak convergence of renormalised sample maxima to the double exponential distribution. In a second application we derive a rate of convergence result for the Hill estimator.

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48

LIERO, MATTHIAS, та ALEXANDER MIELKE. "AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE". Mathematical Models and Methods in Applied Sciences 21, № 09 (2011): 1961–86. http://dx.doi.org/10.1142/s0218202511005611.

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This paper is devoted to dimension reduction for linearized elastoplasticity in the rate-independent case. The reference configuration of the three-dimensional elastoplastic body has a two-dimensional middle surface and a positive but small thickness. Under suitable scalings we derive a limiting model for the case in which the thickness of the plate tends to 0. This model contains membrane and plate deformations (linear Kirchhoff–Love plate), which are coupled via plastic strains. We establish strong convergence of the solutions in the natural energy space. The analysis uses an abstract Γ-conv

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49

Alibert, Jean-Jacques, та Alessandro Della Corte. "Homogenization of nonlinear inextensible pantographic structures by Γ-convergence". Mathematics and Mechanics of Complex Systems 7, № 1 (2019): 1–24. http://dx.doi.org/10.2140/memocs.2019.7.1.

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50

Focardi, Matteo. "Homogenization of Random Fractional Obstacle Problems via Γ-Convergence". Communications in Partial Differential Equations 34, № 12 (2009): 1607–31. http://dx.doi.org/10.1080/03605300903300728.

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