Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application
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DOI: 10.1155/2021/9260828
Abstract: In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ –Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ –Riemann–Liouville fractional integral pertaining first and… read more here.
Keywords: hermite jensen; respect another; jensen mercer; another function ... See more keywords
POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES
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DOI: 10.1216/rmj.2023.53.17
Abstract: . 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 inequalities.… read more here.
Keywords: jensen; mercer inequalities; post quantum; jensen mercer ... See more keywords
New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization
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DOI: 10.1515/dema-2022-0225
Abstract: Abstract 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. This article presents conticrete inequalities… read more here.
Keywords: inequalities hermite; hadamard jensen; hermite hadamard; jensen mercer ... See more keywords
Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators
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DOI: 10.3390/axioms12060517
Abstract: 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. Our main… read more here.
Keywords: integral inequalities; mercer; new jensen; mercer type ... See more keywords
A Quantum Calculus View of Hermite-Hadamard-Jensen-Mercer Inequalities with Applications
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DOI: 10.3390/sym14061246
Abstract: In this paper, we derive some new quantum estimates of generalized Hermite–Hadamard–Jensen–Mercer type of inequalities, essentially using q-differentiable convex functions. With the help of numerical examples, we check the validity of the results. We also… read more here.
Keywords: quantum calculus; hadamard jensen; hermite hadamard; jensen mercer ... See more keywords
Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications
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DOI: 10.3390/sym14102187
Abstract: The main objective of this paper is to establish some new variants of the Jensen–Mercer inequality via harmonically strongly convex function. We also propose some new fractional analogues of Hermite–Hadamard–Jensen–Mercer-like inequalities using AB fractional integrals.… read more here.
Keywords: setting fractional; fractional calculus; inequalities setting; type inequalities ... See more keywords
Fractional Jensen-Mercer Type Inequalities Involving Generalized Raina's Function and Applications
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DOI: 10.3390/sym14102204
Abstract: The aim of this paper is to derive some new generalized fractional analogues of Mercer type inequalities, essentially using the convexity property of the functions and Raina’s function. We also discuss several new special cases… read more here.
Keywords: type inequalities; mercer type; jensen mercer; raina function ... See more keywords