Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators
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DOI: 10.1186/s13661-025-02001-1
Abstract: In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators. Then, we give new identities of this type with special functions… read more here.
Keywords: hadamard mercer; type inequalities; convex functions; mercer type ... See more keywords
New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization
Sign Up to like & getrecommendations! 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… 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 New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions
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DOI: 10.3390/math12233711
Abstract: The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional integral operators. In addition, we establish a number… read more here.
Keywords: times differentiable; hadamard mercer; type; three times ... 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