Improved Hermite-Hadamard type inequalities by using the p-convexity of differentiable mappings

DOI10.2989/16073606.2020.1768170zbMath1482.26027OpenAlexW3033554520MaRDI QIDQ5163034

Muhammad Amer Latif, Ebrahim Momoniat, Sever Silvestru Dragomir

Publication date: 8 November 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1768170

zbMATH Keywords

convex functionsharmonically convex functionHermite-Hadamard inequalities\(p\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Uses Software

• Mathematica

Cites Work

• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Non-connected convexities and applications
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On the \((p, h)\)-convex function and some integral inequalities
• Hermite-Hadamard type inequalities for harmonically convex functions
• Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
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