Results 21 to 30 of about 640,855 (194)

New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators [PDF]

Journal of Mathematics, 2020
In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang, Saad Ihsan Butt, Waqas Nazeer, Mehroz Nadeem, Jamshed Nasir, Hong Yang   +5 more
doaj   +2 more sources

Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

Alexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu, Saad Ihsan Butt, Saba Yousaf, Adnan Aslam, Tariq Javed Zia   +4 more
doaj   +2 more sources

On the Operator Jensen-Mercer Inequality [PDF]

Operator Theory, Functional Analysis and Applications, 2017
Mercer inequality for convex functions is a variant of Jensen's inequality, with an operator version that is still valid without operator convexity. This paper is two folded.
H. R. Moradi, S. Furuichi, M. Sababheh
openalex   +2 more sources

On quantum Hermite-Jensen-Mercer inequalities [PDF]

Miskolc Mathematical Notes, 2023
. A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen ...
Hüseyin Budak, Hasan Kara
openalex   +2 more sources

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   +2 more sources

A counterpart to Jensen-Mercer inequality

, 2020
The main goal of this paper is to point out some refinements of the reverse of the Jensen-Mercer inequality.
A. Matković
openalex   +2 more sources

Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments

Abstract and Applied Analysis, 2016
In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al.
Asif R. Khan, Sumayyah Saadi
doaj   +2 more sources

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals [PDF]

Advances in Difference Equations, 2020
In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches.
Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir, Yu-Ming Chu   +4 more
doaj   +2 more sources

New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples

Armenian Journal of Mathematics, 2022
In this manuscript, we propose new refinements for the Jensen-Mercer as well as variant of the Jensen-Mercer inequalities associated to certain positive tuples. We give some related integral version and present applications for different means.
Muhammad Adil Khan, Josip Pečarić
openalex   +3 more sources

On boundary domination in the Jensen-Mercer inequality [PDF]

, 2015
The main purpose of this, mainly expository, paper is to give various arguments that the boundary domination is a crucial property for the Jensen-Mercer inequality.
I‎. ‎Perić
openalex   +2 more sources