Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications

DOI10.3934/math.2021022zbMath1484.26024OpenAlexW3093219591MaRDI QIDQ2131461

Samet Erden, Muhammad Adil Khan, Nuri Çelik

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021022

zbMATH Keywords

numerical integrationOstrowski inequalityabsolutely continuous functionperturbed type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Numerical integration (65D30) Absolutely continuous real functions in one variable (26A46)

Cites Work

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• Infinitely many solutions for \(p\)-harmonic equation with singular term
• Ostrowski type inequalities for higher-order derivatives
• Absolutely continuous functions of several variables
• New half-discrete Hilbert inequalities for three variables
• Absolutely continuous functions in \(\mathbb R^n\)
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• Absolutely continuous functions with values in a Banach space
• A companion of Ostrowski type inequalities for mappings of bounded variation and some applications
• Some perturbed Ostrowski type inequalities for twice differentiable functions
• On the Hencl's notion of absolute continuity
• Perturbed companions of Ostrowski's inequality for absolutely continuous functions. I
• Companion of Ostrowski-type inequality based on 5-step quadratic kernel and applications
• On the notions of absolute continuity for functions of several variables
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• AN OSTROWSKI TYPE INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and applications
• PERTURBED COMPANIONS OF OSTROWSKI TYPE INEQUALITIES FOR N-TIMES DIFFERENTIABLE FUNCTIONS AND APPLICATIONS

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