Results 11 to 20 of about 558,085 (88)

New Bounds on Hermite–Hadamard–Mercer-Type Inequalities: Applications and Computational Analysis

Journal of Mathematics
In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide-ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer-type inequalities involving a broad class
Muhammad Muawwaz, Arslan Munir, Ather Qayyum, Mohammed Rabih, Sara Ghareeb   +4 more
doaj   +2 more sources

Green’s Function Approach to Hermite–Hadamard–Mercer Type Fractional Inequalities and Applications

Journal of Mathematics
The Hermite–Hadamard–Mercer (HHM) inequality, existing in two well-established forms, plays a fundamental role in mathematical analysis. This inequality is characterized by three distinct components—namely, the left, middle, and right terms.
Muhammad Zafran, Muhammad Adil Khan, Tahir Ullah Khan, Božidar Ivanković, Z. M. M. M. Sayed, Mohamed Sharaf   +5 more
doaj   +2 more sources

Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]

, 2000
Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core   +6 more sources

Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]

, 2001
Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S, Dutta, J, Rubinov, Alexander M   +2 more
core   +6 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +6 more sources

Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]

, 2009
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US, Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +3 more
core   +6 more sources

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

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   +1 more source

Jensen–Mercer inequality for GA-convex functions and some related inequalities

Journal of Inequalities and Applications, 2020
In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj   +1 more source

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

International Journal of Mathematics and Mathematical Sciences, 2022
In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj   +1 more source