Relevant bibliographies by topics / K-uniformly convex function

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Academic literature on the topic 'K-uniformly convex function'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "K-uniformly convex function"

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Panigrahi, T., and R. El-Ashwah. "Mapping properties of certain linear operator associated with hypergeometric functions." Boletim da Sociedade Paranaense de Matemática 39, no. 2 (2021): 223–36. http://dx.doi.org/10.5269/bspm.39670.

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The main object of the present paper is to nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k 􀀀ST () and k 􀀀UCV() respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results.
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E., E. Ali. "SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION." International Journal of Research - Granthaalayah 7, no. 9 (2019): 218–29. https://doi.org/10.5281/zenodo.3473005.

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A new operator n n n n f z z a z n n ( ) 4 ( ) ( ( 1) ) , 2 ( 1) 1 ( )               W    is introduced for functions of the form   n n n f z  z   a z  2 which are analytic in the open unit disk U  z C: z 1 . We introduce several inclusion properties of the new k-uniformly classes US ;k;   , UC;k; , UK;k; ,  and UK ;k; ,  of analytic functions defined by using the Wright function with the operator  W, and the main object of this paper is to investigate various inclusion relationships for these classes. In addition, we proved that a special pr
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Giles, J. R. "A distance function property implying differentiability." Bulletin of the Australian Mathematical Society 39, no. 1 (1989): 59–70. http://dx.doi.org/10.1017/s0004972700027982.

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In a real normed linear space X, properties of a non-empty closed set K are closely related to those of the distance function d which it generates. If X has a uniformly Gâteaux (uniformly Fréchet) differentiable norm, then d is Gâteaux (Fréchet) differentiable at x ∈ X/K if there exists an such thatand is Géteaux (Fréchet) differentiable on X / K if there exists a set P+(K) dense in X/K where such a limit is approached uniformly for all x ∈ P+(K). When X is complete this last property implies that K is convex.
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Smith, Patrick Adrian Neale. "Counterexamples to Smoothing Convex Functions." Canadian Mathematical Bulletin 29, no. 3 (1986): 308–13. http://dx.doi.org/10.4153/cmb-1986-047-5.

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AbstractGreene and Wu have shown that any continuous strongly convex function on a Riemannian manifold can be uniformly approximated by infinitely differentiable strongly convex functions. This result is not true if the word “strongly” is omitted; in this paper, we give examples of manifolds on which convex functions cannot be approximated by convex functions (k = 0, 1,2,...).
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Ramachandran, C., S. Annamalai, and Basem Frasin. "The q-difference operator associated with the multivalent function bounded by conical sections." Boletim da Sociedade Paranaense de Matemática 39, no. 1 (2021): 133–46. http://dx.doi.org/10.5269/bspm.32913.

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In this paper we obtain some inclusion relations of k - starlike functions, k - uniformly convex functions and quasi-convex functions. Furthermore, we obtain coe¢ cient bounds for some subclasses of fractional q-derivative multivalent functions together with generalized Ruscheweyh derivative.
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Vanitha, Lakshminarayanan, Chellakutti Ramachandran, and Teodor Bulboacă. "CLASSES OF k-UNIFORMLY CONVEX AND STARLIKE FUNCTIONS INVOLVING THE GENERALIZED FOX-WRIGHT FUNCTION." Far East Journal of Mathematical Sciences (FJMS) 99, no. 7 (2016): 1081–107. http://dx.doi.org/10.17654/ms099071081.

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7

Huffer, F. W., and L. A. Shepp. "On the probability of covering the circle by random arcs." Journal of Applied Probability 24, no. 2 (1987): 422–29. http://dx.doi.org/10.2307/3214266.

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Arcs of length lk, 0 < lk < 1, k = 1, 2, ···, n, are thrown independently and uniformly on a circumference having unit length. Let P(l1, l2, · ··, ln) be the probability that is completely covered by the n random arcs. We show that P(l1, l2,· ··, ln) is a Schur-convex function and that it is convex in each argument when the others are held fixed.
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Huffer, F. W., and L. A. Shepp. "On the probability of covering the circle by random arcs." Journal of Applied Probability 24, no. 02 (1987): 422–29. http://dx.doi.org/10.1017/s0021900200031065.

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Arcs of length lk, 0 < lk < 1, k = 1, 2, ···, n, are thrown independently and uniformly on a circumference having unit length. Let P(l 1 , l 2, · ··, ln ) be the probability that is completely covered by the n random arcs. We show that P(l 1 , l 2 ,· ··, ln ) is a Schur-convex function and that it is convex in each argument when the others are held fixed.
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9

Wong, James C. S. "Fixed Point Theorems for Measurable Semigroups of Operations." Canadian Journal of Mathematics 44, no. 3 (1992): 652–64. http://dx.doi.org/10.4153/cjm-1992-039-4.

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AbstractLet Sbe a topological semigroup, K a compact convex subset of a separated convex space Eand T: S x K → K an affine action (denoted by (s, x) → Ts(x),s ∈ S, x ∈ K) of S as continuous affine maps on K. It is shown in A. Lau and J. Wong [22] that the weakly left uniformly measurable functions WLUM(S) on S has a left invariant mean iff Shas the fixed point property for weakly measurable affine actions, i.e. affine actions such that the scalar function s → x*Ts(x) is measurable for each x ∈ K and x*∈ E* (the dual of E) with respect to the Borel sets in S. It is natural to ask for a “strongl
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Barber, B. C. "On the dispersion relation for trapped internal waves." Journal of Fluid Mechanics 252 (July 1993): 31–49. http://dx.doi.org/10.1017/s0022112093003659.

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An analysis is constructed in order to estimate the dispersion relation for internal waves trapped in a layer and propagating linearly in a fluid of infinite depth with a rigid surface. The main interest is in predicting the structure of internal wave wakes, but the results are applicable to any internal waves. It is demonstrated that, in general 1/cp = 1/CpO + k/ωmax + ∈(k) where cp is the wave phase speed for a particular mode, CpO is the phase speed at k = 0, ωmax is the maximum possible wave angular frequency and ωmax ≤ Nmax where Nmax is the maximum buoyancy frequency. Also, ∈(0) = 0, ∈(k
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Book chapters on the topic "K-uniformly convex function"

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Marichal, Jean-Luc, and Naïm Zenaïdi. "Derivatives of Multiple $$\log \Gamma $$ -Type Functions." In A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95088-0_7.

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AbstractIn this chapter, we discuss the higher order differentiability properties of Σg when g lies in $$\mathcal {C}^r\cap \mathcal {D}^p\cap \mathcal {K}^{\max \{p,r\}}$$ C r ∩ D p ∩ K max { p , r } for any $$p,r\in \mathbb {N}$$ p , r ∈ ℕ . In particular, we show the fundamental fact that Σg also lies in $$\mathcal {C}^r$$ C r and that the sequence $$n \mapsto D^rf^p_n[g]$$ n ↦ D r f n p [ g ] converges uniformly on any bounded subinterval of $$\mathbb {R}_+$$ ℝ + to Dr Σg.
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Journal articles
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