Hermite-Hadamard and Jensen's type inequalities for modified \((p,h)\)-convex functions

DOI10.3934/math.2020446zbMath1484.26060OpenAlexW3084048549MaRDI QIDQ2132259

Mamoona Ghafoor, Chuang Yao, Muhammad Imran Qureshi, Yu-Ming Chu, Baoli Feng, Xing Qiao, Xue Feng

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020446

zbMATH Keywords

Hermite-Hadamard inequalityJensen-type inequalities\(p\)-convex functionFejér-type inequalitiesmodified \(h\)-convex function

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)

New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals ⋮ Refinements of some fractional integral inequalities for refined \((\alpha,h-m)\)-convex function ⋮ A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions ⋮ Unnamed Item ⋮ Some generalizations of the Hermite-Hadamard integral inequality

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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• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Unification of generalized and \(p\)-convexity
• On some Hadamard-type inequalities for h-convex functions
• Monotonicity and inequalities involving zero-balanced hypergeometric function
• An Inequality for Convex Functions

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