Results 11 to 20 of about 28,634,870 (289)

Fractional Exponentially m-Convex Functions and Inequalities [PDF]

open access: yesInternational Journal of Analysis and Applications, 2019
In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are
Saima Rashid   +2 more
doaj   +5 more sources

Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus

open access: yesJournal of Function Spaces, 2021
In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung   +3 more
doaj   +2 more sources

Log m-Convex Functions [PDF]

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
doaj   +3 more sources

Some new integral inequalities for (s, m)-convex and (α, m)-convex functions

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
The paper considers several new integral inequalities for functions the second derivatives of which, with respect to the absolute value, are ( s,m )-convex and ( α,m )-convex functions.
B. Bayraktar, V.Ch. Kudaev
doaj   +3 more sources

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function

open access: yesJournal of Inequalities and Applications, 2018
In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral operators.
G. Farid   +4 more
doaj   +2 more sources

Biobjective optimization with M-convex functions

open access: yesMathematical Programming
Abstract In this paper, we deal with two ingredients that, as far as we know, have not been combined until now: multiobjective optimization and discrete convex analysis. First, we show that the entire Pareto optimal value set can be obtained in polynomial time for biobjective optimization problems with discrete ...
Ellen H. Fukuda   +2 more
openaire   +3 more sources

Sandwich Type Results For m-Convex Real Functions [PDF]

open access: yesAnnales Mathematicae Silesianae, 2021
We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s ...
Lara Teodoro, Rosales Edgar
doaj   +2 more sources

On Locally m-convex Function Algebras [PDF]

open access: yes, 1974
In this thesis an analogue of B-completeness is defined for locally m-convex algebras. Namely, a commutative locally m-convex algebra A is said to be a B(£) algebra if every continuous and almost open homomorphism from A onto any locally m-Convex algebra is open.
Rosa, Domenico
openaire   +3 more sources

Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function [PDF]

open access: yes, 2023
In this paper, a new definition of (m, h1 , h2 , s) -Harmonically convex function is introduced by combining m-convex, 1 2 (h , h ) -convex, s-convex, and harmonically convex function.
Sabir Yasin   +5 more
core   +1 more source

m-Convexity and Functional Equations [PDF]

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
AbstractIn this research we aim to explore some properties of m-convex functions from the point of view of functional equations or better, functional inequalities. So far studies of m- convexity have been devoted mainly to establish properties, inequalities and examples on the topic, but not to look at the problem from the perspective of functional ...
Lara Teodoro   +2 more
openaire   +2 more sources

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