Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives

DOI10.7153/fdc-2022-12-13zbMath1524.26059OpenAlexW4320084007MaRDI QIDQ6041441

Juan Eduardo Napoles Valdes, Yusif S. Gasimov

Publication date: 30 May 2023

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2022-12-13

zbMATH Keywords

Hermite-Hadamard inequalityCaputo fractional derivatives\((h,m)\)-convex modified functions

Mathematics Subject Classification ID

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)

Related Items (1)

Some novel inequalities for Caputo Fabrizio fractional integrals involving (α,s)-convex functions with applications

Cites Work

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• Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function
• Non-linear eigenvalue problems for \(p\)-Laplacian with variable domain
• Some remarks on \(s\)-convex functions
• Monotonicity and inequalities for the gamma function
• Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives
• Caputo fractional derivative Hadamard inequalities for strongly \(m\)-convex functions
• Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives
• On \(q\)-Hermite-Hadamard inequalities for general convex functions
• Estimation of integral inequalities using the generalized fractional derivative operator in the Hilfer sense
• Some function classes related to the class of convex functions
• Simple proof and refinement of Hermite-Hadamard inequality
• Monotonicity and sharp inequalities related to gamma function
• Some refinements of Hermite-Hadamard inequality and an open problem
• Several New Integral Inequalities via Caputo k-Fractional Derivative Operators
• Integral inequalities within the framework of generalized fractional integrals
• A Very Short Proof of the Hermite–Hadamard Inequalities
• On Hadamard-type inequalities for differentiable functions via Caputo k-fractional derivatives
• $k-$fractional integral inequalities for $(h-m)-$convex functions via Caputo $k-$fractional derivatives
• Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means

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