On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

DOI10.1186/s13660-021-02721-9zbMath1504.26057OpenAlexW3214260010MaRDI QIDQ2072993

Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Dumitru Baleanu, Merve Avci Ardic

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02721-9

zbMATH Keywords

incomplete beta functionHölder inequalityEuler gamma functionHermite-Hadamard inequality\(s\)-convex functionsnormalization functionAtangana-Baleanu integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Fractional ordinary differential equations (34A08)

Related Items (1)

SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Cites Work

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• Approximations of differentiable convex functions on arbitrary convex polytopes
• Necessary and sufficient conditions for the validity of Jensen's inequality
• New inequalities of Hermite-Hadamard type for convex functions with applications
• A multivariate extension of an inequality of Brenner-Alzer
• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• A class of nonlinear four-point subdivision schemes
• Sharp integral inequalities of the Hermite-Hadamard type
• Two Korovkin-type theorems in multivariate approximation
• Hadamard-type inequalities for s-convex functions
• Convex functions, partial orderings, and statistical applications
• On fractional derivatives with exponential kernel and their discrete versions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Hermite-Jensen-Mercer type inequalities for conformable integrals and related results
• New Hadamard-type integral inequalities via a general form of fractional integral operators
• Increasing the approximation order of spline quasi-interpolants
• Generalized integral inequalities for ABK-fractional integral operators
• Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
• Convexity results and sharp error estimates in approximate multivariate integration
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Simpson type integral inequalities for convex functions via Riemann-Liouville integrals
• Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative
• A note on the theory of s-normed spaces of φ-integrable functions
• Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes

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