Results 1 to 10 of about 4,941 (262)
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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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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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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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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Discrete Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Holzhauser +2 more
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Wasit Journal for Pure Sciences, 2023 Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function.
Anwar H. Moureh, Hiba F. Al-Janaby
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Schur m-power convexity of generalized geometric Bonferroni mean involving three parameters
Journal of Inequalities and Applications, 2019 In this paper, we study the Schur m-power convexity of the generalized geometric Bonferroni mean involving three parameters. Our result provides a unified generalization to the work that was done recently by Shi and Wu concerning the Schur convexity of ...
Shan-He Wu, Yu-Ming Chu
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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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A Generalization of the Convex Kakeya Problem [PDF]
Algorithmica, 2012 Given a set of line segments in the plane, not necessarily finite, what is a convex region of smallest area that contains a translate of each input segment? This question can be seen as a generalization of Kakeya's problem of finding a convex region of smallest area such that a needle can be rotated through 360 degrees within this region.
Hee-Kap Ahn +5 more
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Certain Geometric Properties of Generalized Dini Functions
Journal of Function Spaces, 2018 We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions.
Muhey U. Din +3 more
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