Results 21 to 30 of about 10,446 (248)
Hermite-Hadamard inequalities and their applications. [PDF]
New Hermite-Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.
Mihai MV +4 more
europepmc +6 more sources
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
semanticscholar +1 more source
Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj +1 more source
Some New Estimates of Hermite-Hadamard Inequality with Application
This paper establishes several new inequalities of Hermite–Hadamard type for |f′|q being convex for some fixed q∈(0,1]. As application, some error estimates on special means of real numbers are given.
Tao Zhang, Alatancang Chen
semanticscholar +1 more source
The Hermite-Hadamard inequality for $ s $-Convex functions in the third sense
In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented.
Sevda Sezer
semanticscholar +1 more source
New Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (α, m) Convexity
This study provokes the existence of quantum Hermite-Hadamard inequalities under the concept of q-integral. We analyse and illustrate a new identity for the differentiable function mappings whose second derivatives in absolute value are (α,m) convex ...
Peng Xu, S. Butt, Qurat Ul Ain, H. Budak
semanticscholar +1 more source
A Review of Hermite-Hadamard Inequality for α-Type Real-Valued Convex Functions
Inequalities play important roles not only in mathematics but also in other fields, such as economics and engineering. Even though many results are published as Hermite–Hadamard (H-H)-type inequalities, new researchers to these fields often find it ...
O. Almutairi, Adem Kılıçman
semanticscholar +1 more source
Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid +2 more
doaj +1 more source
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj +1 more source
Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj +1 more source

