On Ostrowski–Mercer inequalities for differentiable harmonically convex functions with applications

DOI10.1002/MMA.8998zbMath1527.26009OpenAlexW4313401516MaRDI QIDQ6179843

Muhammad Aamir Ali, Muhammad Imran, Waqas Ali Faridi, Hüseyin Budak

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8998

zbMATH Keywords

Ostrowski inequalityharmonically convex functionJensen-Mercer inequality

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)

Cites Work

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• Some perturbed Ostrowski type inequalities for twice differentiable functions
• On the Ostrowski's integral inequality for mappings with bounded variation and applications
• Ostrowski type inequalities for harmonically s-convex functions
• Generalized Ostrowski type inequalities for local fractional integrals
• Inequalities via harmonic convex functions: conformable fractional calculus approach
• Hermite-Hadamard type inequalities for harmonically convex functions
• Refinements of the operator Jensen-Mercer inequality

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