Results 11 to 20 of about 30,526 (192)

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function

Journal of Function Spaces, 2021
In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt, Saba Yousaf, Atifa Asghar, Khuram Ali Khan, Hamid Reza Moradi   +4 more
doaj   +3 more sources

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   +3 more sources

Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments [PDF]

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   +4 more sources

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   +4 more sources

On quantum Hermite-Jensen-Mercer inequalities

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-Mercer inequality [15].
Budak, Hüseyin, Kara, Hasan
openaire   +2 more sources

On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]

Sahand Communications in Mathematical Analysis
This study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators.  The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz, Bouharket Benaissa, Noureddine Azzouz   +2 more
doaj   +2 more sources

FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS

Fractals, 2022
Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard–Mercer-type inequalities on fractal sets [Formula: see text]
Butt, Saad Ihsan, Yousaf, Saba, Younas, Muhammad, Ahmad, Hijaz, Yao, Shao-Wen   +4 more
openaire   +2 more sources

On Fractional Ostrowski-Mercer-Type Inequalities and Applications

Symmetry, 2023
The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcomes of the paper, we leverage the use of conformable fractional integral operators.
Sofia Ramzan, Muhammad Uzair Awan, Miguel J. Vivas-Cortez, Hüseyin Budak   +3 more
openaire   +2 more sources

On some inequalities for uniformly convex mapping with estimations to normal distributions

Journal of Inequalities and Applications, 2023
In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly convex functions. We explore some interesting properties of such a class of functions along with some examples.
Saad Ihsan Butt, Yamin Sayyari, Praveen Agarwal, Juan J. Nieto, Muhammad Umar   +4 more
doaj   +1 more source

On the refinements of Jensen Mercer's inequality

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.
Muhammad Adil Khan, Asif R. Khan, Josip ‎Pečarić   +2 more
openaire   +4 more sources