Results 11 to 20 of about 63 (63)

New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

Journal of Inequalities and Applications, 2023
In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad, Soubhagya Kumar Sahoo, Kottakkaran Sooppy Nisar, Savin Treanţă, Homan Emadifar, Thongchai Botmart   +5 more
doaj   +1 more source

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

Mathematics, 2021
In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Jiraporn Reunsumrit, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators

Fractal and Fractional, 2021
The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value
Erhan Set, Barış Çelik, M. Emin Özdemir, Mücahit Aslan   +3 more
doaj   +1 more source

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +1 more source

New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities

Alexandria Engineering Journal, 2020
An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu, Saima Rashid, Zakia Hammouch, Yu-Ming Chu   +3 more
doaj   +1 more source

Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

Boundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir   +3 more
doaj   +1 more source

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose ...
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad   +4 more
doaj   +1 more source

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +1 more source