Results 21 to 30 of about 24,937 (297)
On geodesic strongly E-convex sets and geodesic strongly E-convex functions [PDF]
Journal of Inequalities and Applications, 2015 In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed.
Adem Kılıçman, Wedad Saleh
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Acceleration of the PDHGM on Partially Strongly Convex Functions [PDF]
Journal of Mathematical Imaging and Vision, 2016 We propose several variants of the primal-dual method due to Chambolle and Pock. Without requiring full strong convexity of the objective functions, our methods are accelerated on subspaces with strong convexity. This yields mixed rates, O ( 1 / N 2 ) with respect to initialisation and O(1 / N) with respect to the dual sequence, and the residual part ...
Tuomo Valkonen, Thomas Pock
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On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao +4 more
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Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
, 2013 The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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ON THE NEIGHBOURHOODS OF STRONGLY CONVEX FUNCTIONS
Tamkang Journal of Mathematics, 1996 In this paper neighbourhoods of strongly convex and strongly starlike function are determined.
Parvatham, R., Premabai, Millicent
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Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
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On geodesic semi strongly E-convex functions [PDF]
, 2016 In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced.
Wedad Saleh +3 more
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Maréchal, Pierre, Ye, Jane
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Geometric properties of Wright function [PDF]
Mathematica Bohemica, 2018 In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Sudhananda Maharana +2 more
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Journal of Inequalities and Applications, 2023 We consider a general class of convex optimization problems in which one seeks to minimize a strongly convex function over a closed and convex set, which is by itself an optimal set of another mixed variational inequality problem in a Hilbert space ...
Wei-Bo Guan, Wen Song
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