Results 51 to 60 of about 11,297,589 (365)
Convex Multivariable Trace Functions
, 2001 For any densely defined, lower semi-continuous trace \tau on a C*-algebra A with mutually commuting C*-subalgebras A_1, A_2, ... A_n, and a convex function f of n variables, we give a short proof of the fact that the function (x_1, x_2, ..., x_n ...
Lieb, Elliott H., Pedersen, Gert K.
core +1 more source
Inequalities of Hermite-Hadamard Type
Moroccan Journal of Pure and Applied Analysis, 2015 Some inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir S. S.
doaj +1 more source
On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
Asian Research Journal of Mathematics, 2019 In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions.
M. Ali +4 more
semanticscholar +1 more source
Discrete Fenchel Duality for a Pair of Integrally Convex and Separable Convex Functions [PDF]
arXiv, 2021 Discrete Fenchel duality is one of the central issues in discrete convex analysis. The Fenchel-type min-max theorem for a pair of integer-valued M-natural-convex functions generalizes the min-max formulas for polymatroid intersection and valuated matroid intersection.
arxiv
Discrete majorization type inequalities for convex functions on rectangles
Journal of Inequalities and Applications, 2019 In this paper, we present several discrete majorization type inequalities for the convex functions defined on rectangles.
M. Adil Khan +3 more
semanticscholar +1 more source
Certain subclasses of uniformly convex functions of order α and type β with varying arguments
Journal of the Egyptian Mathematical Society, 2013 In this paper, we define a new subclass of k-uniformly convex functions order α type β with varying argument of coefficients and obtain coefficient estimates.
N. Magesh
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Convex Functions in ACL2(r) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 This paper builds upon our prior formalisation of R^n in ACL2(r) by presenting a set of theorems for reasoning about convex functions. This is a demonstration of the higher-dimensional analytical reasoning possible in our metric space formalisation of R ...
Carl Kwan, Mark R. Greenstreet
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Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions
Mathematics, 2019 In this paper, we develop some quantum estimates of Hermite-Hadamard type inequalities for quasi-convex functions. In some special cases, these quantum estimates reduce to the known results.
Hefeng Zhuang, Wenjun Liu, Jaekeun Park
semanticscholar +1 more source
Majorization theorems for strongly convex functions
Journal of Inequalities and Applications, 2019 In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah, M. Adil Khan, Y. Chu
semanticscholar +1 more source
Inequalities of Jensen type for \(AH\)-convex functions
Journal of Numerical Analysis and Approximation Theory, 2016 Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given. Applications for power and logarithm functions are provided as well.
Sever Dragomir
doaj +2 more sources