Parameterized Simpson-like inequalities for differentiable bounded and Lipschitzian functions with application example from management science

DOI10.2478/JAMSI-2023-0005zbMath1524.26051OpenAlexW4380084374MaRDI QIDQ6115501

Wedad Saleh, Nadjla Boutelhig, Badreddine Meftah, Abdelghani Lakhdari

Publication date: 12 July 2023

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/jamsi-2023-0005

zbMATH Keywords

bounded functionsLipschitzian functionsSimpson inequalityNewton-cotes quadrature

Mathematics Subject Classification ID

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

Cites Work

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• Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications
• New Simpson type integral inequalities for \(s\)-convex functions and their applications
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• On Simpson's inequality and applications
• New version of fractional Simpson type inequalities for twice differentiable functions
• Hadamard-type inequalities for Lipschitzian functions in one and two variables with applications
• Parameterized Simpson-like inequalities for differential \(s\)-convex functions
• On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals
• Inequalities of Hadamard's type for Lipschitzian mappings

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