Results 51 to 60 of about 558,085 (88)

Harmonic conformable refinements of Hermite-Hadamard Mercer inequalities by support line and related applications

Mathematical and Computer Modelling of Dynamical Systems
We establish new conformable fractional Hermite-Hadamard (H–H) Mercer type inequalities for harmonically convex functions using the concept of support line.
Saad Ihsan Butt, Miguel Vivas-Cortez, Hira Inam   +2 more
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

Hermite–Hadamard-Mercer Type Inequalities for Interval-Valued Coordinated Convex Functions

Axioms
Determining the Jensen–Mercer inequality for interval-valued coordinated convex functions has been a challenging task for researchers in the fields of inequalities and interval analysis.
Muhammad Toseef, Iram Javed, Muhammad Aamir Ali, Loredana Ciurdariu   +3 more
doaj   +1 more source

New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators

Fractal and Fractional
As the most important inequality, the Hermite–Hadamard–Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years.
Çetin Yildiz, Tevfik İşleyen, Luminiţa-Ioana Cotîrlă   +2 more
doaj   +1 more source

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions

Mathematics
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source

Several refinement of hermite-hadamard inequality

, 2017
碩士本論文研究的主要目的是要對Hermite-Hadamard 不等式提供更多的答案。The major goal of this study is to give some answers to the Hermite-Hadamard Inequality.1.緒論 ...........................................頁 1 2.主要結果 .......................................頁 4 3.參考文獻 .............
温麗東;Wen, Li- Tung
core  

Advancements in conticrete Hermite–Hadamard–Mercer type fractional inequalities via separable sequences

Demonstratio Mathematica
The Hermite–Hadamard inequality remains a central focus in mathematical research, with its profound significance continually motivating mathematicians to explore new areas for its enhancement and generalizations.
Muhammad Tahir, Adil Khan Muhammad, Faisal Shah, Wang Xinglong, Sharaf Mohamed   +4 more
doaj   +1 more source

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

Boundary Value Problems
The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız, Samet Erden, Seth Kermausuor, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +4 more
doaj   +1 more source

On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions

Fractal and Fractional
In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator).
Zeynep Çiftci, Merve Coşkun, Çetin Yildiz, Luminiţa-Ioana Cotîrlă, Daniel Breaz   +4 more
doaj   +1 more source