Generalization of Hadamard-type trapezoid inequalities for fractional integral operators

DOI10.13108/2021-13-1-119zbMath1474.26084OpenAlexW3154365930MaRDI QIDQ4988675

Muhammet Emin Özdemir, Bahtiyar Bayraktar

Publication date: 18 May 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa548

zbMATH Keywords

convexityHölder inequalityHermite-Hadamard inequalityRiemann-Liouville fractional integralspower-mean inequality

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)

Related Items (1)

Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral

Cites Work

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• Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation
• On the generalization of some integral inequalities and their applications
• New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS

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