Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives

DOI10.1155/2021/6691151zbMath1477.26032OpenAlexW3119880172MaRDI QIDQ1983425

Yanliang Dong, Ghulam Farid, Sidra Bibi, Muhammad Zeb

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1155/2021/6691151

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 (5)

Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives ⋮ Unnamed Item ⋮ Caputo fractional derivative Hadamard inequalities for strongly \(m\)-convex functions ⋮ Some integral inequalities via fractional derivatives

Cites Work

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• Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
• Characterizations of inner product spaces by strongly convex functions
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• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
• Strong convexity of sets and functions
• Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Ostrowski's Type Inequalities for (α, m)-Convex Function
• On Hadamard-type inequalities for differentiable functions via Caputo k-fractional derivatives
• Hermite--Hadamard type inequalities for the product of (α,m )-convex functions
• On Strongly Convex Functions and Related Classes of Functions
• A generalized Fejér-Hadamard inequality for harmonically convex functions via generalized fractional integral operator and related results
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