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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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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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Jensen–Steffensen inequality for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen-Steffensen inequality for convex functions. In this paper we prove the Jensen-Steffensen inequality for strongly convex functions.
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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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Around Jensen’s inequality for strongly convex functions [PDF]
Aequationes mathematicae, 2017 In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special means are pointed out as well. We also give a Jensen's operator inequality for strongly convex functions. As a corollary, we improve Hölder-McCarthy inequality under suitable
Moradi, Hamid Reza +3 more
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Bounds for the Čebyšev Functional of a Convex and a Bounded Function [PDF]
, 2005 Upper and lower bounds for the Čebyšev functional of a convex and a bounded function are given.
Dragomir, Sever S, Barnett, Neil S
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Mathematics, 2023 The symmetric function class interacts heavily with other types of functions. One of these is the convex function class, which is strongly related to symmetry theory.
Muhammad Bilal Khan +4 more
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On the Location of the Minimizer of the Sum of Two Strongly Convex Functions [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 The problem of finding the minimizer of a sum of convex functions is central to the field of distributed optimization. Thus, it is of interest to understand how that minimizer is related to the properties of the individual functions in the sum. In this paper, we provide an upper bound on the region containing the minimizer of the sum of two strongly ...
Kananart Kuwaranancharoen +1 more
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Further Geometric Properties of the Barnes–Mittag-Leffler Function
Axioms, 2023 In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
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Set-Theoretic Inequalities Based on Convex Multi-Argument Approximate Functions via Set Inclusion
Journal of Function Spaces, 2022 Hypersoft set is a novel area of study which is established as an extension of soft set to handle its limitations. It employs a new approximate mapping called multi-argument approximate function which considers the Cartesian product of attribute-valued ...
Atiqe Ur Rahman +3 more
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