Perturbed companions of Ostrowski's inequality for absolutely continuous functions. I

DOI10.1515/awutm-2016-0007OpenAlexW2525577201MaRDI QIDQ2679403

Sever Silvestru Dragomir

Publication date: 20 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2016-0007

zbMATH Keywords

Ostrowski's inequalitytrapezoid rulemidpoint rule

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (3)

Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ PERTURBED COMPANIONS OF OSTROWSKI TYPE INEQUALITIES FOR N-TIMES DIFFERENTIABLE FUNCTIONS AND APPLICATIONS ⋮ Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions

Cites Work

• Sharp integral inequalities of the Hermite-Hadamard type
• An Ostrowski like inequality for convex functions and applications.
• Univariate Ostrowski inequalities, revisited
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• Operator Inequalities of Ostrowski and Trapezoidal Type
• Bounds on the deviation of a function from its averages
• The Ostrowski integral inequality for mappings of bounded variation
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS
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