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Published in 2021 at "Complexity"
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…
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Keywords:
hermite jensen;
respect another;
jensen mercer;
another function ... See more keywords
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Published in 2023 at "Rocky Mountain Journal of Mathematics"
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.…
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Keywords:
jensen;
mercer inequalities;
post quantum;
jensen mercer ... See more keywords
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Published in 2023 at "Demonstratio Mathematica"
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…
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Keywords:
inequalities hermite;
hadamard jensen;
hermite hadamard;
jensen mercer ... See more keywords
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Published in 2023 at "Axioms"
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…
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Keywords:
integral inequalities;
mercer;
new jensen;
mercer type ... See more keywords
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Published in 2022 at "Symmetry"
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…
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Keywords:
quantum calculus;
hadamard jensen;
hermite hadamard;
jensen mercer ... See more keywords
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Published in 2022 at "Symmetry"
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.…
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Keywords:
setting fractional;
fractional calculus;
inequalities setting;
type inequalities ... See more keywords
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Published in 2022 at "Symmetry"
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…
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Keywords:
type inequalities;
mercer type;
jensen mercer;
raina function ... See more keywords