Results 1 to 10 of about 5,273 (133)

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators [PDF]

open access: yesAxioms, 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   +2 more
doaj   +3 more sources

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

open access: yesJournal 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   +3 more
doaj   +2 more sources

UEG Week 2025 Moderated Posters [PDF]

open access: yesUnited European Gastroenterol J
United European Gastroenterology Journal, Volume 13, Issue S8, Page S189-S802, October 2025.
europepmc   +2 more sources

POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES [PDF]

open access: yes, 2023
The Jensen-Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite-Jensen-Mercer inequality for post-quantum integrals by utilizing Jensen-Mercer ...
Bohner, Martin   +2 more
core   +2 more sources

On a variant and extension of Gabler inequality [PDF]

open access: yes, 2022
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along with ...
Chanan, Sadia   +2 more
core   +2 more sources

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

On a variant of Čebyšev’s inequality of the Mercer type

open access: yesJournal of Inequalities and Applications, 2020
We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
doaj   +1 more source

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt   +3 more
doaj   +1 more source

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

open access: yesAlexandria 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   +4 more
doaj   +1 more source

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

open access: yesJournal 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

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