Some perturbed Ostrowski type inequalities for functions of bounded variation

DOI10.1142/S1793557115500692zbMath1336.26031OpenAlexW2238735666MaRDI QIDQ3461998

Sever Silvestru Dragomir

Publication date: 4 January 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557115500692

zbMATH Keywords

integral inequalitiesOstrowski's inequalityperturbed Ostrowski type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functions of bounded variation, generalizations (26A45)

Related Items (8)

On generalization of weighted Ostrowski type inequalities for functions of bounded variation ⋮ A companion of Ostrowski type inequalities for mappings of bounded variation and some applications ⋮ Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications ⋮ A Survey of Perturbed Ostrowski Type Inequalities ⋮ Unnamed Item ⋮ A new Ostrowski type inequality for functions whose first derivatives are of bounded variation ⋮ Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions ⋮ Some companions of Ostrowski type inequalities for twice differentiable functions

Cites Work

• Improvements of the Ostrowski integral inequality for mappings of bounded variation. I.
• A note on some Ostrowski-like type inequalities
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Error inequalities for a generalized trapezoid rule
• Some Ostrowski type inequalities and applications
• A companion for the Ostrowski and the generalised trapezoid inequalities
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation
• On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
• A note to Ujević's generalization of Ostrowski's inequality
• Ostrowski Type Inequalities
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