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Functions Like Convex Functions [PDF]
Journal of Function Spaces, 2015 The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center,
Zlatko Pavić
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Convex Functions on Convex Polytopes [PDF]
Proceedings of the American Mathematical Society, 1968 The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually ...
David Gale +2 more
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A Characterization of Convex Functions [PDF]
The American Mathematical Monthly, 2017 Let $D$ be a convex subset of a real vector space. It is shown that a radially lower semicontinuous function $f: D\to \mathbf{R}\cup \{+\infty\}$ is convex if and only if for all $x,y \in D$ there exists $\alpha=\alpha(x,y) \in (0,1)$ such that $f(\alpha
Leonetti, Paolo
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On an Inequality for Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1956 H. D. Brunk
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Positivity of Integrals for Higher Order $\nabla-$Convex and Completely Monotonic Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 We extend the definitions of $\nabla-$convex and completely monotonic functions for two variables. Some general identities of Popoviciu type integrals $\int P(y)f(y) dy$ and $\int \int P(y,z) f(y,z) dy dz$ are deduced.
Faraz Mehmood, Asif Khan, Muhammad Adnan
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Generalizations of Ostrowski type inequalities via F-convexity
AIMS Mathematics, 2022 The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci +3 more
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Hermite-Hadamard type inequalities for Wright-convex functions of several variables [PDF]
Opuscula Mathematica, 2015 We present Hermite-Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices.
Dorota Śliwińska, Szymon Wąsowicz
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Convex Defining Functions for Convex Domains [PDF]
Journal of Geometric Analysis, 2010 21 ...
Jeffery D. McNeal, A. K. Herbig
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
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