Weighted version of Hermite-Hadamard type inequalities for geometrically quasi-convex functions and their applications

DOI10.1186/s13660-018-1904-7zbMath1498.26066OpenAlexW2901241022WikidataQ59810320 ScholiaQ59810320MaRDI QIDQ824872

Muhammad Amer Latif, Sofian Obeidat

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1904-7

zbMATH Keywords

convex functionHölder inequalityHermite-Hadamard inequalityspecial meansgeometrically quasi-convex functiongeometrically symmetric function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving other types of functions (26D07)

Cites Work

• New Hermite-Hadamard type integral inequalities for GA-convex functions with applications
• Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• New general integral inequalities for quasi-geometrically convex functions via fractional integrals
• Some Hermite-Hadamard type inequalities for geometrically quasi-convex functions
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• Some new Hermite--Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates
• Some estimates on the Hermite-Hadamard inequality through geometrically quasi-convex functions
• Convex functions and their applications. A contemporary approach
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