On Hermite–Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities

I Aldawish, M Jleli, B Samet - Axioms, 2023 - mdpi.com
Hermite–Hadamard inequality is a double inequality that provides an upper and lower
bounds of the mean (integral) of a convex function over a certain interval. Moreover, the …

The Hermite–Hadamard inequality in higher dimensions

S Steinerberger - The Journal of Geometric Analysis, 2020 - Springer
Abstract The Hermite–Hadamard inequality states that the average value of a convex
function on an interval is bounded from above by the average value of the function at the …

On the refinements of some important inequalities via -calculus and their applications

B Yu, CY Luo, TS Du - Journal of Inequalities and Applications, 2021 - Springer
We establish some interesting refinements of the ( p , q ) \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …

[PDF][PDF] SOME HERMITE HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS DEFINED ON CONVEX BODIES VIA GAUSS OSTROGRADSKY IDENTITY

SS DRAGOMIR - Preprint RGMIA Res. Rep. Coll, 2019 - researchgate.net
In this paper, by the use of Gauss $ Ostrogradsky identity, we es $ tablish some integral
inequalities of Hermite $ Hadamard type for functions of three variables defined on closed …

[PDF][PDF] Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings

Y Yu, H Lei, G Hu, T Du - AIMS Math, 2021 - aimspress.com
We use the definition of a fractional integral operators, recently introduced by Katugampola,
to establish a parameterized identity associated with differentiable mappings. The identity is …

Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces

PO Olanipekun - arXiv preprint arXiv:2404.09400, 2024 - arxiv.org
We extend the notion of convexity of functions defined on global nonpositive curvature
spaces by introducing (geodesically) $ h $-convex functions. We prove estimates of Hermite …

Subdifferentials of perturbed distance function in Riemannian manifolds

A Barani - Optimization, 2018 - Taylor & Francis
The notions of perturbed optimization problem and perturbed distance function are
introduced in Riemannian manifolds. Some characterizations of Fréchet and proximal …

[PDF][PDF] On some inequalities for double and path integrals on general domains

SS Dragomir - Novi Sad Journal of Mathematics, 2021 - vuir.vu.edu.au
Silvestru Sever Dragomir 2 3 Abstract. In this paper, by the use of the celebrated Green's
identity for double and path integrals, we establish some integral inequalities for functions of …

On the regularity of sets in Riemannian manifolds

A Sepahvand, A Barani - Journal of the Australian Mathematical …, 2021 - cambridge.org
This paper is devoted to the study of the normal (tangential) regularity of a closed set and the
subdifferential (directional) regularity of its distance function in the context of Riemannian …

Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in

SS Dragomir - Journal of Applied Analysis, 2020 - degruyter.com
Some Hermite–Hadamard type integral inequalities for convex functions defined on convex
bodies in ℝn Skip to content Should you have institutional access? Here's how to get it ... De …