Some fractional integral inequalities of type Hermite-Hadamard through convexity

DOI10.1186/s13660-019-2054-2zbMath1499.26167OpenAlexW2945487365MaRDI QIDQ2067839

Yanyan Li

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2054-2

zbMATH Keywords

convex functionsHermite-Hadamard's inequalitypower-mean inequalityRiemann-Liouville fractional integration

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) Means (26E60)

Related Items (1)

Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications

Cites Work

• On an implicit convexity concept and some integral inequalities
• On the generalization of some integral inequalities and their applications
• Hermite and convexity
• Some inequalities for differentiable convex and concave mappings
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• A Caputo fractional derivative of a function with respect to another function
• New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex
• On strong delta-convexity and Hermite-Hadamard type inequalities for delta-convex functions of higher order
• Generalized Hermite-Hadamard type integral inequalities for fractional integrals
• Convex functions
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