Midpoint inequalities via strong convexity using positive weighted symmetry kernels

DOI10.1155/2021/9653481zbMath1479.52017OpenAlexW3210247669MaRDI QIDQ823659

Waqas Nazeer, Sami Ullah Zakir, Hengxiao Qi, Kamsing Nonlaopon

Publication date: 16 December 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9653481

zbMATH Keywords

strongly convex functionsmidpoint inequalitiesweighted fractional integrals

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Positive weighted symmetry function kernels and some related inequalities for a generalized class of convex functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On generalized strongly \(p\)-convex functions of higher order
• Fractional integral inequalities and applications
• A Caputo fractional derivative of a function with respect to another function
• Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
• New fractional inequalities of midpoint type via \(s\)-convexity and their application
• Hermite-Hadamard-type inequalities via \(n\)-polynomial exponential-type convexity and their applications
• New weighted generalizations for differentiable exponentially convex mapping with application
• New Hadamard-type integral inequalities via a general form of fractional integral operators
• New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
• On generalization of midpoint type inequalities with generalized fractional integral operators
• Some new Riemann-Liouville fractional integral inequalities
• Approximations of fractional integrals and Caputo fractional derivatives
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals
• Some new results using Hadamard fractional integral
• A note on the Hermite-Hadamard inequality
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals