New generalized integral inequalities with applications

DOI10.3934/math.2019.3.984zbMath1484.26071OpenAlexW2966857988MaRDI QIDQ2127806

Sever Silvestru Dragomir, Artion Kashuri, Rozana Liko

Publication date: 21 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2019.3.984

zbMATH Keywords

Hölder inequalityHermite-Hadamard inequalitypower mean inequalitygeneral fractional integrals

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) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

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• A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data
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• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions
• Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus

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