Results 1 to 10 of about 6,381 (249)
HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS
Hacettepe Journal of Mathematics and Statistics, 2014 The author introduce the concept of harmonically convex functions and establish some Hermite-Hadamard type inequalities of these classes of ...
I. Işcan
openaire +6 more sources
Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
doaj +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
wiley +1 more source
Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj +2 more sources
Ohlin’s lemma and some inequalities of the Hermite–Hadamard type [PDF]
Aequationes mathematicae, 2014 Inequalities of Hermite-Hadamard type are proved using the Ohlin lemma. Main results are given in the following theorems. Theorem 1. Inequality \[ af(\alpha x+(1-\alpha)y)+(1-a)f(\beta x+(1-\beta)y)\leq \frac{1}{y-x}\int_x^y f(t) dt \] with some \(\alpha, a, \beta \in [0,1]\), \(\alpha >\beta\) is satisfied for all \(x,y\in \mathbb{R}\) and all ...
openaire +4 more sources
On Generalized Inequalities of Hermite-Hadamard Type for Convex Functions
International Journal of Analysis and Applications, 2017 In this paper, new integral inequalities of Hermite-Hadamard type are developed for n−times differentiable convex functions. Also a parallel development is made base on concavity.
ÖZDEMİR, MUHAMET EMİN, YILDIZ, Çetin
openaire +5 more sources
On Hermite Hadamard-type inequalities depending on the metric functions
AIP Conference Proceedings, 2016 In this paper, a version of Hermite Hadamard-type inequalities for (d, t)-convex functions are established. And then we give some new inequalities of the Hermite–Hadamard type for the product of two (d, t)-convex functions.
Sarıkaya, Mehmet Zeki +2 more
openaire +1 more source
On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Mathematics, 2019 In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam +3 more
doaj +1 more source
Journal of Inequalities and ApplicationsThis article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran +3 more
doaj +1 more source