Results 41 to 50 of about 11,287,559 (375)
Relatively Smooth Convex Optimization by First-Order Methods, and Applications [PDF]
SIAM Journal on Optimization, 2016 The usual approach to developing and analyzing first-order methods for smooth convex optimization assumes that the gradient of the objective function is uniformly smooth with some Lipschitz constant $L$.
Haihao Lu, R. Freund, Y. Nesterov
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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
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On the (p,h)-convex function and some integral inequalities
, 2014 In this paper, we introduce a new class of (p,h)-convex functions which generalize P-functions and convex, h,p,s-convex, Godunova-Levin functions, and we give some properties of the functions.
Z. Fang, Renjie Shi
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The number of directed k-convex polyominoes [PDF]
, 2015 We present a new method to obtain the generating functions for directed convex polyominoes according to several different statistics including: width, height, size of last column/row and number of corners.
Boussicault, Adrien +2 more
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A note on generalized convex functions
Journal of Inequalities and Applications, 2019 In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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The Ostrowski inequality for s-convex functions in the third sense
AIMS Mathematics, 2022 In this paper, the Ostrowski inequality for s-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose ...
Gültekin Tınaztepe +3 more
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Functions Like Convex Functions [PDF]
Journal of Function Spaces, 2015 The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.
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Modulus of convexity for operator convex functions [PDF]
, 2014 Given an operator convex function $f(x)$, we obtain an operator-valued lower bound for $cf(x) + (1-c)f(y) - f(cx + (1-c)y)$, $c \in [0,1]$. The lower bound is expressed in terms of the matrix Bregman divergence.
Kim, Isaac H.
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Unification of Generalized and p-Convexity
Journal of Function Spaces, 2020 In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung +5 more
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