Results 1 to 10 of about 81 (78)

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   +2 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
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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
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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
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications

Journal of Function Spaces, 2021
This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. Two new auxiliary results are derived to govern the novel fractional
Saad Ihsan Butt, Jamshed Nasir, Shahid Qaisar, Khadijah M. Abualnaja   +3 more
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New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators

Alexandria Engineering Journal, 2023
The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo, Y.S. Hamed, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Kamsing Nonlaopon   +4 more
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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
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New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators

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
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New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
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Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators

Axioms, 2023
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex ...
Bahtiyar Bayraktar, Péter Kórus, Juan Eduardo Nápoles Valdés   +2 more
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