On new general inequalities for \(s\)-convex functions and their applications

DOI10.1186/s13660-023-02914-4OpenAlexW4317212711MaRDI QIDQ6062401

Abdulvahit Yergöz, Büşra Yergöz, Çetin Yildiz

Publication date: 30 November 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-02914-4

zbMATH Keywords

Hölder inequalityHermite-Hadamard inequality\(s\)-convex functionpower-mean integral inequality

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Hadamard-type inequalities for s-convex functions
• Some remarks on \(s\)-convex functions
• Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
• New refinements for integral and sum forms of Hölder inequality
• Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals
• The Hermite-Hadamard inequality for \(s\)-convex functions in the third sense
• Weighted Hermite-Hadamard type inclusions for products of co-ordinated convex interval-valued functions
• Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions
• New inequalities for \(n\)-time differentiable functions
• On some inequalities for s-convex functions and applications
• On the new Hermite-Hadamard type inequalities for \(s\)-convex functions
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula
• Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are <i>s</i>-convex

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