Results 31 to 40 of about 147 (123)

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

Open Mathematics, 2017
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil, Chu Yuming, Khan Tahir Ullah, Khan Jamroz   +3 more
doaj   +1 more source

Integral inequalities via harmonically h-convexity

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem, Meftah Badreddine, Souahi Abdourazek   +2 more
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

A minimax problem for sums of translates on the torus

Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 1-46, December 2018., 2018
Abstract We extend some equilibrium‐type results first conjectured by Ambrus, Ball and Erdélyi, and then proved recenly by Hardin, Kendall and Saff. We work on the torus T≃[0,2π), but the motivation comes from an analogous setup on the unit interval, investigated earlier by Fenton.
Bálint Farkas, Béla Nagy, Szilárd Gy. Révész   +2 more
wiley   +1 more source

A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]

, 2017
In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving
SET, Erhan, GÖZPINAR, Abdurrahman
core   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

Refinements of quantum Hermite-Hadamard-type inequalities

Open Mathematics, 2021
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin, Khan Sundas, Ali Muhammad Aamir, Chu Yu-Ming   +3 more
doaj   +1 more source

New General Integral Inequalities for Polynomial Convexity in the Framework of k‐Riemann–Liouville Fractional Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız, Ferhat Polat, Fady Hasan, Nabil Mlaiki, Oluwole D. Makinde   +4 more
wiley   +1 more source

Inequalities via convex functions

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 543-546, 1999., 1999
A general inequality is proved using the definition of convex functions. Many major inequalities are deduced as applications.
I. A. Abou-Tair, W. T. Sulaiman
wiley   +1 more source

New integral inequalities of Hermite–Hadamard type in a generalized context

, 2021
In this paper, we obtained new integral inequalities of theHermite–Hadamard type for convex and quasi–convex functions in a generalizedcontext.AMS (MOS) Subject Classification Codes:26D10, 26A51, 39B62, 26A33Key Words: Hermite–Hadamard ...
Juan Eduardo Napoles Valdes; UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Saad Ihsan Butt; COMSATS University Islamabad Lahore Campus, Bahtiyar Bayraktar; Department of Educational Sciences Uludag University, Bursa,   +2 more
core