Results 101 to 110 of about 11,182,581 (267)

On boundedly-convex functions on pseudo-topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
doaj   +1 more source

Dual ${M}$ -Convex Variable Subsets Family and Extremum Analysis for the OPF Problem

open access: yesIEEE Access, 2018
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
doaj   +1 more source

Reciprocally convex functions

open access: yesJournal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

open access: yesJournal of Inequalities and Applications, 2019
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
Saima Rashid   +4 more
doaj   +1 more source

On approximately convex functions [PDF]

open access: yesProceedings of the American Mathematical Society, 2002
A stability problem for a functional inequality can be formulated as a question: If a function satisfies the inequality ``approximately'', does it ``approximately'' equal a function that satisfies the inequality completely? (For stability of functional equations replace ``inequality'' everywhere in the foregoing sentence by ``equation'').
openaire   +1 more source

Refinements of Hermite-Hadamard inequality for trigonometrically r-convex functions [PDF]

open access: yesMathematica Moravica, 2019
In this study, we obtain some refinements of Hermite-Hadamard type inequalities for trigonometrically r-convex mappings.
Budak Hüseyin
doaj  

A Note on Optimality Conditions for DC Programs Involving Composite Functions

open access: yesAbstract and Applied Analysis, 2014
By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.
Xiang-Kai Sun, Hong-Yong Fu
doaj   +1 more source

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