Results 21 to 30 of about 770,647 (275)
Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
Journal of Inequalities and Applications, 2018 In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the ...
Huan-Nan Shi, Shan-He Wu
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Journal of Function Spaces, 2022 Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity.
Hengxiao Qi +3 more
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Displacement convexity for the generalized orthogonal ensemble. [PDF]
, 2004 The paper considers the generalized ensemble of n by n real symmetric matrices that is invariant under the natural action of the real orthogonal group and that is given by a real potential function.
Blower, Gordon
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Generalized Increasing Convex and Directionally Convex Orders [PDF]
Journal of Applied Probability, 2010 In this paper, the componentwise increasing convex order, the upper orthant order, the upper orthant convex order, and the increasing directionally convex order for random vectors are generalized to hierarchical classes of integral stochastic order relations. The elements of the generating classes of functions possess nonnegative partial derivatives up
Denuit, Michel M., Mesfioui, Mhamed
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Generalized convexity: CP3 and boundaries of convex sets [PDF]
Pattern Recognition, 1995 Abstract A set S is convex if for every pair of points P , Q ϵ S , the line segment PQ is contained in S . This definition can be generalized in various ways. One class of generalizations makes use of k -tuples, rather than pairs, of points—for example, Valentine's property P 3 : For every triple of points P , Q , R of S , at least ...
Longin Jan Latecki +2 more
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Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
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On Semi-(B,G)-Preinvex Functions
Abstract and Applied Analysis, 2012 We firstly construct a concrete semi-invex set which is not invex. Basing on concept of semi-invex set, we introduce some kinds of generalized convex functions, which include semi-(B,G)-preinvex functions, strictly semi-(B,G)-preinvex functions and ...
Xiaoling Liu, D. H. Yuan
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Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
Journal of Inequalities and Applications, 2010 We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced.
Do Sang Kim, Hyo Jung Lee
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The Schur-Convexity of the Generalized Muirhead-Heronian Means
Abstract and Applied Analysis, 2014 We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated.
Yong-Ping Deng +3 more
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Generalized Levinson's inequality and exponential convexity [PDF]
Opuscula Mathematica, 2015 We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point.
Josip Pečarić +2 more
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