SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS

DOI10.15393/J3.ART.2020.8270zbMath1459.26020OpenAlexW3107524884MaRDI QIDQ5151415

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Publication date: 17 February 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa307

zbMATH Keywords

convexityHölder inequalityHadamard inequalityRiemann-Liouville fractional integralpower-mean inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (3)

New Hadamard-type inequalities via $(s,m_{1},m_{2})$-convex functions ⋮ Some generalized Hadamard-type inequalities via fractional integrals ⋮ Generalization of Hadamard-type trapezoid inequalities for fractional integral operators

Cites Work

• 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
• Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration
• New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
• HADRON DIFFRACTIVE PRODUCTION AT ULTRAHIGH ENERGIES AND SHADOW EFFECTS
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