Results 1 to 10 of about 5,273 (133)
Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators [PDF]
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
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Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
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
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UEG Week 2025 Moderated Posters [PDF]
United European Gastroenterology Journal, Volume 13, Issue S8, Page S189-S802, October 2025.
europepmc +2 more sources
POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES [PDF]
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
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On a variant and extension of Gabler inequality [PDF]
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along with ...
Chanan, Sadia +2 more
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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
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On a variant of Čebyšev’s inequality of the Mercer type
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
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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
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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
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Jensen–Mercer inequality for GA-convex functions and some related inequalities
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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