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S-Convexity: The Variable Radius Case [PDF]
Journal of Convex Analysis, 2022 We generalize, to the variable radius case, the main results contained in a recent paper of the authors [A new class of sets regularity, J. Convex Analysis 25/4 (2018) 1059–1074], where a new regularity class, called S-convexity, is studied and shown to cover well-known regularity properties, including
Nour, Chadi, Takche, Jean
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S-Convexity and Gross Substitutability
Operations Research, 2020A New Concept to Study Substitute Structures in Economics and Operations Models In “S-Convexity and Gross Substitutability,” Chen and Li propose a novel concept of S-convex functions defined on continuous spaces, which extends a key concept of M-natural-convex functions in discrete convex analysis.
Xin Chen 0026, Menglong Li
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On Some Operator Inequalities with Respect to the s-Convexity
Acta Mathematica Vietnamica, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lahcen Tarik +3 more
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Advances in Applied Probability, 2000
Let ℬs([a,b];μ1,μ2,…,μs-1) be the class of all distribution functions of random variables with support in [a,b] having μ1,μ2,…,μs-1 as their first s-1 moments. In this paper we examine some aspects of the structure of ℬs([a,b];μ1,μ2,…,μs-1) and of the s-convex stochastic extrema in it. Using representation results of moment matrices à la Lindsay (1989a)
Denuit, Michel +2 more
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Let ℬs([a,b];μ1,μ2,…,μs-1) be the class of all distribution functions of random variables with support in [a,b] having μ1,μ2,…,μs-1 as their first s-1 moments. In this paper we examine some aspects of the structure of ℬs([a,b];μ1,μ2,…,μs-1) and of the s-convex stochastic extrema in it. Using representation results of moment matrices à la Lindsay (1989a)
Denuit, Michel +2 more
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An Operator Version of the Jensen Inequality for s-Convex Functions
Complex Analysis and Operator Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail Nikoufar, Davuod Saeedi
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On s-convex stochastic extrema for arithmetic risks
Insurance: Mathematics and Economics, 1999The authors deal with a class of discrete stochastic orderings in the space of random variables. In particular, they follow (their as well as the others authors) former results on this topic. A brief survey of the former results is given in the introduction.
Denuit, Michel +2 more
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ON GENERALIZED s-CONVEX FUNCTIONS ON FRACTAL SETS
JP Journal of Geometry and Topology, 2015Summary: In this article, a new class of generalized \(s\)-convex functions in both senses denoted by \(GK^i_{s_1,s_2}\) (\(i=1,2\)) on real linear fractal sets \(\mathbb{R}^\alpha ...
Saleh, Wedad, Kiliçman, Adem
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Hadamard-type inequalities for s-convex functions
Applied Mathematics and Computation, 2007In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions.
Ugur S. Kirmaci +3 more
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