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Journal articles on the topic 'Kantorovich'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

BOLDYREV, IVAN, and TILL DÜPPE. "Programming the USSR: Leonid V. Kantorovich in context." British Journal for the History of Science 53, no. 2 (April 8, 2020): 255–78. http://dx.doi.org/10.1017/s0007087420000059.

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AbstractIn the wake of Stalin's death, many Soviet scientists saw the opportunity to promote their methods as tools for the engineering of economic prosperity in the socialist state. The mathematician Leonid Kantorovich (1912–1986) was a key activist in academic politics that led to the increasing acceptance of what emerged as a new scientific persona in the Soviet Union. Rather than thinking of his work in terms of success or failure, we propose to see his career as exemplifying a distinct form of scholarship, as a partisan technocrat, characteristic of the Soviet system of knowledge production. Confronting the class of orthodox economists, many factors were at work, including Kantorovich's cautious character and his allies in the Academy of Sciences. Drawing on archival and oral sources, we demonstrate how Kantorovich, throughout his career, negotiated the relations between mathematics and economics, reinterpreted political and ideological frames, and reshaped the balance of power in the Soviet academic landscape.

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2

Sawano, Yoshihiro, Xinxin Tian, and Jingshi Xu. "Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents." Filomat 34, no. 7 (2020): 2109–21. http://dx.doi.org/10.2298/fil2007109s.

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The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey spaces with variable exponents when the integral exponent is global log-H?lder continuous.

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3

Pták, Vlastimil. "The Kantorovich Inequality." American Mathematical Monthly 102, no. 9 (November 1995): 820–21. http://dx.doi.org/10.1080/00029890.1995.12004669.

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4

Ptak, Vlastimil. "The Kantorovich Inequality." American Mathematical Monthly 102, no. 9 (November 1995): 820. http://dx.doi.org/10.2307/2974512.

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5

Kusraev, A. G. "Banach-Kantorovich spaces." Siberian Mathematical Journal 26, no. 2 (1985): 254–59. http://dx.doi.org/10.1007/bf00968770.

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6

Ditzian, Zeev, and Xinlong Zhou. "Kantorovich-Bernstein polynomials." Constructive Approximation 6, no. 4 (December 1990): 421–35. http://dx.doi.org/10.1007/bf01888273.

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7

Igbida, Noureddine, José M. Mazón, Julio D. Rossi, and Julián Toledo. "Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations." Advances in Calculus of Variations 11, no. 1 (January 1, 2018): 1–28. http://dx.doi.org/10.1515/acv-2015-0052.

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AbstractIn this paper we approximate a Kantorovich potential and a transport density for the mass transport problem of two measures (with the transport cost given by a Finsler distance), by taking limits, as p goes to infinity, to a family of variational problems of p-Laplacian type. We characterize the Euler–Lagrange equation associated to the variational Kantorovich problem. We also obtain different characterizations of the Kantorovich potentials and a Benamou–Brenier formula for the transport problem.

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8

Zheng, Shiming, and Desmond Robbie. "A note on the convergence of Halley's method for solving operator equations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 37, no. 1 (July 1995): 16–25. http://dx.doi.org/10.1017/s0334270000007542.

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AbstractHalley's method is a famous iteration for solving nonlinear equations. Some Kantorovich-like theorems have been given. The purpose of this note is to relax the region conditions and give another Kantorovich-like theorem for operator equations.

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9

Moradi, Hamid, Shigeru Furuichi, and Zahra Heydarbeygi. "New Refinement of the Operator Kantorovich Inequality." Mathematics 7, no. 2 (February 1, 2019): 139. http://dx.doi.org/10.3390/math7020139.

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We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z. Heydarbeygi, A glimpse at the operator Kantorovich inequality, Linear Multilinear Algebra, doi:10.1080/03081087.2018.1441799].

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10

CHEN, DONG. "ON THE CONVERGENCE OF THE HALLEY METHOD FOR NONLINEAR EQUATION OF ONE VARIABLE." Tamkang Journal of Mathematics 24, no. 4 (December 1, 1993): 461–67. http://dx.doi.org/10.5556/j.tkjm.24.1993.4517.

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In this paper, under standard Newton-Kantorovich condi tions, we establish the Kantorovich convergence theorem and give the optimal error bound for Halley iteation method for solving nonlinear complex equations on the complex plane.

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11

Doğru, O., O. Duman, and C. Orhan. "Statistical approximation by generalized Meyer-König and Zeller type operators." Studia Scientiarum Mathematicarum Hungarica 40, no. 3 (August 1, 2003): 359–71. http://dx.doi.org/10.1556/sscmath.40.2003.3.9.

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In the present paper, we study a Kantorovich type generalization of Agratini's operators. Using A-statistical convergence, we will give the approximation properties of Agratini's operators and their Kantorovich type generalizations. We also give the rates of A-statistical convergence of these operators.

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12

Mahmudov, Nazim, and Pembe Sabancigil. "Approximation theorems for q-Bernstein-Kantorovich operators." Filomat 27, no. 4 (2013): 721–30. http://dx.doi.org/10.2298/fil1304721m.

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In the present paper we introduce a q-analogue of the Bernstein-Kantorovich operators and investigate their approximation properties. We study local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich operators in case 0 < q < 1.

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13

Acu, Ana-Maria, Laura Hodis, and Ioan Rasa. "Multivariate weighted kantorovich operators." Mathematical Foundations of Computing 3, no. 2 (2020): 117–24. http://dx.doi.org/10.3934/mfc.2020009.

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14

Basaeva, Elena K., Anatoly G. Kusraev, and Semen S. Kutateladze. "Quaisidifferentials in Kantorovich Spaces." Journal of Optimization Theory and Applications 171, no. 2 (February 29, 2016): 365–83. http://dx.doi.org/10.1007/s10957-016-0899-9.

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15

Kusraev, A. G., and S. S. Kutateladze. "Kantorovich Spaces and Optimization." Journal of Mathematical Sciences 133, no. 4 (March 2006): 1449–55. http://dx.doi.org/10.1007/s10958-006-0060-7.

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16

Aganbegyan, A. G., A. D. Aleksandrov, D. K. Faddeev, M. K. Gavurin, S. S. Kutateladze, V. L. Makarov, Yu G. Reshetnyak, I. V. Romanovskii, G. Sh Rubinshtein, and S. L. Sobolev. "Leonid Vital'evich Kantorovich (Obituary)." Russian Mathematical Surveys 42, no. 2 (April 30, 1987): 225–32. http://dx.doi.org/10.1070/rm1987v042n02abeh001310.

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17

Agrawal, P. N., and Meenu Goyal. "Generalized Baskakov Kantorovich operators." Filomat 31, no. 19 (2017): 6131–51. http://dx.doi.org/10.2298/fil1719131a.

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In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with a function of bounded variation for these operators.

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18

Bărbosu, Dan. "Kantorovich-Schurer bivariate operators." Miskolc Mathematical Notes 5, no. 2 (2004): 129. http://dx.doi.org/10.18514/mmn.2004.71.

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19

Acu, A. M., and H. Gonska. "Classical Kantorovich Operators Revisited." Ukrainian Mathematical Journal 71, no. 6 (November 2019): 843–52. http://dx.doi.org/10.1007/s11253-019-01683-y.

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20

Fujii, Masatoshi, Hongliang Zuo, and Nan Cheng. "Generalization on Kantorovich inequality." Journal of Mathematical Inequalities, no. 3 (2013): 517–22. http://dx.doi.org/10.7153/jmi-07-46.

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21

Elliott, Michael. "The Riesz–Kantorovich formulae." Positivity 23, no. 5 (February 28, 2019): 1245–59. http://dx.doi.org/10.1007/s11117-019-00661-9.

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22

Igbida, Noureddine. "Evolution Monge–Kantorovich equation." Journal of Differential Equations 255, no. 7 (October 2013): 1383–407. http://dx.doi.org/10.1016/j.jde.2013.04.020.

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23

Deo, Naokant, and Ram Pratap. "$$\alpha $$-Bernstein–Kantorovich operators." Afrika Matematika 31, no. 3-4 (November 28, 2019): 609–18. http://dx.doi.org/10.1007/s13370-019-00746-4.

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24

Aktaş, Rabia, Bayram Çekim, and Fatma Taşdelen. "A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials." Journal of Function Spaces and Applications 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/935430.

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We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators. Also, we give a Voronovskaya type theorem for Kantorovich-Stancu type operators including Gould-Hopper polynomials.

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25

Wadströmer, Niclas. "An Approach to the Inverse IFS Problem Using the Kantorovich Metric." Fractals 05, supp01 (April 1997): 89–99. http://dx.doi.org/10.1142/s0218348x97000668.

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We will discuss how to use the Kantorovich metric in an attempt to solve the inverse IFS problem. The idea is to obtain an initial approximation of the IFS and then improve it iteratively along the gradient (in the parameter space) obtained by the Kantorovich metric.

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26

Lin, Qiu. "Statistical Approximation ofq-Bernstein-Schurer-Stancu-Kantorovich Operators." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/569450.

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We introduce two kinds of Kantorovich-typeq-Bernstein-Schurer-Stancu operators. We first estimate moments ofq-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of these operators by means of modulus of continuity and the functions of Lipschitz class.

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27

Soybaş, Danyal, and Neha Malik. "Approximation for difference of Lupaş and some classical operators." Filomat 34, no. 10 (2020): 3311–18. http://dx.doi.org/10.2298/fil2010311s.

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The approximation of difference of two linear positive operators having different basis functions is discussed in the present article. The quantitative estimates in terms of weighted modulus of continuity for the difference of Lupa? operators and the classical ones are obtained, viz. Lupa? and Baskakov operators, Lupa? and Sz?sz operators, Lupa? and Baskakov-Kantorovich operators, Lupa? and Sz?sz-Kantorovich operators.

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28

Gordienko, Evgueni, and Patricia Vázquez-Ortega. "SIMPLE CONTINUITY INEQUALITIES FOR RUIN PROBABILITY IN THE CLASSICAL RISK MODEL." ASTIN Bulletin 46, no. 3 (May 5, 2016): 801–14. http://dx.doi.org/10.1017/asb.2016.10.

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AbstractA simple technique for continuity estimation for ruin probability in the compound Poisson risk model is proposed. The approach is based on the contractive properties of operators involved in the integral equations for the ruin probabilities. The corresponding continuity inequalities are expressed in terms of the Kantorovich and weighted Kantorovich distances between distribution functions of claims. Both general and light-tailed distributions are considered.

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29

Gupta, Vijay. "(p,q)-Baskakov-Kantorovich Operators." Applied Mathematics & Information Sciences 10, no. 4 (July 1, 2016): 1551–56. http://dx.doi.org/10.18576/amis/100433.

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30

Gavrea, Ioan, and Adonia-Augustina Opris. "Modified Kantorovich-Stancu operators (II)." Studia Universitatis Babes-Bolyai Matematica 64, no. 2 (June 10, 2019): 197–205. http://dx.doi.org/10.24193/subbmath.2019.2.06.

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31

Komarov, Vyacheslav Vladimirovich. "LEONID KANTOROVICH-OUR NOBEL ECONOMIST." Economy, labor, management in agriculture, no. 1 (2018): 120–25. http://dx.doi.org/10.33938/181-120.

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32

Kutateladze, S. S. "Speech on L. V. Kantorovich." Journal of Mathematical Sciences 133, no. 4 (March 2006): 1388–90. http://dx.doi.org/10.1007/s10958-006-0052-7.

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33

Marakulin, V. M. "Equilibrium Analysis in Kantorovich Spaces." Journal of Mathematical Sciences 133, no. 4 (March 2006): 1477–90. http://dx.doi.org/10.1007/s10958-006-0063-4.

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34

Saadé, Joelle. "A short survey on Kantorovich." ACM Communications in Computer Algebra 50, no. 1/2 (September 28, 2016): 1–11. http://dx.doi.org/10.1145/3003653.3003655.

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35

Bassetti, Federico, Antonella Bodini, and Eugenio Regazzini. "On minimum Kantorovich distance estimators." Statistics & Probability Letters 76, no. 12 (July 2006): 1298–302. http://dx.doi.org/10.1016/j.spl.2006.02.001.

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36

Gonska, Heiner, Margareta Heilmann, and Ioan Raşa. "Kantorovich Operators of Order k." Numerical Functional Analysis and Optimization 32, no. 7 (May 23, 2011): 717–38. http://dx.doi.org/10.1080/01630563.2011.580877.

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37

Lecerf, Grégoire, and Joelle Saadé. "A short survey on Kantorovich." ACM Communications in Computer Algebra 50, no. 1 (April 27, 2016): 1–11. http://dx.doi.org/10.1145/2930964.2930965.

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38

Liu, Shuangzhe, and Heinz Neudecker. "Several Matrix Kantorovich-Type Inequalities." Journal of Mathematical Analysis and Applications 197, no. 1 (January 1996): 23–26. http://dx.doi.org/10.1006/jmaa.1996.0003.

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39

Jevtić, Filip D., Marija Jelić, and Rade T. Živaljević. "Cyclohedron and Kantorovich–Rubinstein Polytopes." Arnold Mathematical Journal 4, no. 1 (April 2018): 87–112. http://dx.doi.org/10.1007/s40598-018-0083-4.

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40

Kutateladze, S. S. "Linear programming and Kantorovich spaces." Journal of Applied and Industrial Mathematics 1, no. 2 (June 2007): 137–41. http://dx.doi.org/10.1134/s1990478907020019.

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41

Lellmann, Jan, Dirk A. Lorenz, Carola Schönlieb, and Tuomo Valkonen. "Imaging with Kantorovich--Rubinstein Discrepancy." SIAM Journal on Imaging Sciences 7, no. 4 (January 2014): 2833–59. http://dx.doi.org/10.1137/140975528.

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42

Kondratyev, Stanislav, and Dmitry Vorotnikov. "Spherical Hellinger--Kantorovich Gradient Flows." SIAM Journal on Mathematical Analysis 51, no. 3 (January 2019): 2053–84. http://dx.doi.org/10.1137/18m1213063.

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43

Zheng-yu, Wang, and Shen Zu-he. "Kantorovich theorem for variational inequalities." Applied Mathematics and Mechanics 25, no. 11 (November 2004): 1291–97. http://dx.doi.org/10.1007/bf02438285.

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44

Kusraev, A. G. "Abstract disintegration in Kantorovich spaces." Siberian Mathematical Journal 25, no. 5 (1985): 749–57. http://dx.doi.org/10.1007/bf00968688.

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45

Mendivil, F. "Computing the Monge–Kantorovich distance." Computational and Applied Mathematics 36, no. 3 (January 7, 2016): 1389–402. http://dx.doi.org/10.1007/s40314-015-0303-7.

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46

Totik, V. "Saturation of Kantorovich type operators." Periodica Mathematica Hungarica 16, no. 2 (June 1985): 115–26. http://dx.doi.org/10.1007/bf01857591.

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47

Edwards, D. A. "On the Kantorovich–Rubinstein theorem." Expositiones Mathematicae 29, no. 4 (2011): 387–98. http://dx.doi.org/10.1016/j.exmath.2011.06.005.

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48

CIARLET, PHILIPPE G., and CRISTINEL MARDARE. "ON THE NEWTON–KANTOROVICH THEOREM." Analysis and Applications 10, no. 03 (July 2012): 249–69. http://dx.doi.org/10.1142/s0219530512500121.

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The Newton–Kantorovich theorem enjoys a special status, as it is both a fundamental result in Numerical Analysis, e.g., for providing an iterative method for computing the zeros of polynomials or of systems of nonlinear equations, and a fundamental result in Nonlinear Functional Analysis, e.g., for establishing that a nonlinear equation in an infinite-dimensional function space has a solution. Yet its detailed proof in full generality is not easy to locate in the literature. The purpose of this article, which is partly expository in nature, is to carefully revisit this theorem, by means of a two-tier approach. First, we give a detailed, and essentially self-contained, account of the classical proof of this theorem, which essentially relies on careful estimates based on the integral form of the mean value theorem for functions of class [Formula: see text] with values in a Banach space, and on the so-called majorant method. Our treatment also includes a careful discussion of the often overlooked uniqueness issue. An example of a nonlinear two-point boundary value problem is also given that illustrates the power of this theorem for establishing an existence theorem when other methods of nonlinear functional analysis cannot be used. Second, we give a new version of this theorem, the assumptions of which involve only one constant instead of three constants in its classical version and the proof of which is substantially simpler as it altogether avoids the majorant method. For these reasons, this new version, which captures all the basic features of the classical version could be considered as a good alternative to the classical Newton–Kantorovich theorem.

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49

Steinerberger, Stefan. "On a Kantorovich-Rubinstein inequality." Journal of Mathematical Analysis and Applications 501, no. 2 (September 2021): 125185. http://dx.doi.org/10.1016/j.jmaa.2021.125185.

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50

Gladkov, Nikita A., Alexander V. Kolesnikov, and Alexander P. Zimin. "The multistochastic Monge–Kantorovich problem." Journal of Mathematical Analysis and Applications 506, no. 2 (February 2022): 125666. http://dx.doi.org/10.1016/j.jmaa.2021.125666.

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