Weighted Simpson-like type inequalities for quasi-convex functions

DOI10.1515/JAA-2022-1000zbMath1528.26026OpenAlexW4367677186MaRDI QIDQ6085014

Hamida Ayed, Badreddine Meftah

Publication date: 2 December 2023

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2022-1000

zbMATH Keywords

Hölder inequalityquasi-convex functionsSimpson inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Cites Work

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• Some new inequalities of Simpson type for strongly \(s\)-convex functions
• On new inequalities of Simpson's type for \(s\)-convex functions
• New Hermite-Hadamard type integral inequalities for convex functions and their applications
• On Simpson's inequality and applications
• Certain new bounds considering the weighted Simpson-like type inequality and applications
• Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications
• Estimates of bounds on the weighted Simpson type inequality and their applications
• New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
• Simpson type integral inequalities for generalized fractional integral
• Some weighted trapezoidal type inequalities via h-preinvexity
• Some weighted Ostrowski‐type inequalities for differentiable preinvex functions
• Some Simpson type inequalities for h-convex and (\alpha,m)-convex functions

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