Fejér-Hermite-Hadamard inequalities for \(n\)-times differentiable preinvex functions

DOI10.32513/TMJ/19322008137zbMath1494.26016OpenAlexW3198733553MaRDI QIDQ2143758

Sikander Mehmood, Nusrat Yasmin, Muhammad Amer Latif, Fiza Zafar

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tmj/19322008137

zbMATH Keywords

preinvex functionHermite-Hadamard-Fejér inequality\(n\)-times differentiable functionHermite-Hadamard-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

• Generalization of Hermite-Hadamard type inequalities for \(n\)-times differentiable functions through preinvexity
• Some Hermite-Hadamard type inequalities for \(n\)-time differentiable \(({\alpha},m)\)-convex functions
• Pre-invex functions in multiple objective optimization
• Mean value in invexity analysis
• Some new integral inequalities for N-times differentiable R-convex and R-concave functions
• On Hermite-Hadamard type integral inequalities for n-times differentiable log-preinvex functions
• Reliability Enhancement of Flash-Memory Storage Systems: An Efficient Version-Based Design
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