Results 11 to 20 of about 205,945 (226)

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

open access: yesJournal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You   +4 more
doaj   +1 more source

Discrete concavity and the half-plane property [PDF]

open access: yes, 2009
Murota et al. have recently developed a theory of discrete convex analysis which concerns M-convex functions on jump systems. We introduce here a family of M-concave functions arising naturally from polynomials (over a field of generalized Puiseux series)
Buch A. S.   +4 more
core   +3 more sources

Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem

open access: yesOpen Mathematics, 2019
This paper provides some new characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem. Firstly, we introduce some new generalized convex fuzzy functions and discuss the relationships among them. Secondly,
Chen Wang, Zhou Zhiang
doaj   +1 more source

On geodesic semi strongly E-convex functions [PDF]

open access: yes, 2016
In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced.
Kilicman, Adem, Saleh, Wedad
core   +1 more source

A photon transport problem with a time-dependent point source [PDF]

open access: yes, 2009
We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of ...
A. BELLENI-MORANTE   +10 more
core   +1 more source

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

open access: yesJournal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung   +4 more
doaj   +1 more source

Local maximum points of explicitly quasiconvex functions [PDF]

open access: yes, 2014
This work concerns generalized convex real-valued functions defined on a nonempty convex subset of a real topological linear space. Its aim is twofold: first, to show that any local maximum point of an explicitly quasiconvex function is a global minimum ...
A Cambini   +10 more
core   +1 more source

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

open access: yesJournal of Mathematics, 2021
In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf   +3 more
doaj   +1 more source

Some concepts of generalized convex functions (I)

open access: yesJournal of Numerical Analysis and Approximation Theory, 2002
An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
doaj   +2 more sources

Asymptotic formulas for stacks and unimodal sequences [PDF]

open access: yes, 2013
We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural variants of unimodal sequences, including Auluck's generalized Ferrer ...
Bringmann, Kathrin, Mahlburg, Karl
core   +2 more sources

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