This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements many inequalities. By setting values monotone functions, it is possible reproduce results classical convexities. The Hadamard-type several classes related convex functions are identifie...

Abstract In the paper, authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, prove extensions of inequality integrals without using harmonic convexity property functions. The results offered here are refinements existing

We propose a generalized curvature that is motivated by the optimal transport problem on $\mathbb{R}^d$ with cost induced Tonelli Lagrangian $L$. show non-negativity of implies displacement convexity entropy functional $L-$Wasserstein space along $C^2$ interpolants.

A mixed type dual for multiobjective variational problems is formulated. Several duality theorems are established relating properly efficient solutions of the primal and dual variational problems under generalized (F,ρ)-convexity. Static mixed type dual multiobjective problems are particular cases of these problems.  2004 Elsevier Inc. All rights reserved.

In the paper, the logarithmically complete monotonicity, logarithmically absolute monotonicity and logarithmically absolute convexity of the function [Γ(1+tx)] [Γ(1+sx)]t for x, s, t ∈ R such that 1 + sx > 0 and 1 + tx > 0 with s 6= t are verified, some known results are generalized.