Results 31 to 40 of about 1,126,227 (356)
Strongly Convex Functions of Higher Order Involving Bifunction
Mathematics, 2019 Some new concepts of the higher order strongly convex functions involving an arbitrary bifuction are considered in this paper. Some properties of the higher order strongly convex functions are investigated under suitable conditions.
Bandar B. Mohsen +3 more
doaj +1 more source
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.
openaire +3 more sources
Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
openaire +4 more sources
International Journal of Mathematics and Mathematical Sciences, 1988 It is shown that inversion is a convex function on the set of strictly positive elements of a C*-algebra.
Derming Wang
doaj +1 more source
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
doaj +1 more source
Quotients of continuous convex functions on nonreflexive Banach spaces [PDF]
, 2007 On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and
Holicky, P. +3 more
core +1 more source
Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions [PDF]
arXiv, 2021 In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimodularity. These concepts of discrete convex functions are not mutually independent.
arxiv
Projections Onto Convex Sets (POCS) Based Optimization by Lifting [PDF]
, 2013 Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex and some non-convex optimization problems are presented.
Bozkurt, A. +7 more
core +2 more sources
Modulus of convexity for operator convex functions [PDF]
Journal of Mathematical Physics, 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 ∈ [0, 1]. The lower bound is expressed in terms of the matrix Bregman divergence. A similar inequality is shown to be false for functions that are convex but not operator convex.
openaire +5 more sources
On uniformly convex functions [PDF]
Journal of Mathematical Analysis and Applications, 2022 Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexity is inherited by the convex envelope, which is the key to obtain other remarkable properties such as the coercivity.
M. Raja, Guillaume Grelier
openaire +3 more sources