A companion for the Ostrowski and the generalised trapezoid inequalities

DOI10.1016/j.mcm.2009.04.005zbMath1185.26038OpenAlexW2048592184MaRDI QIDQ969863

N. S. Barnett, I. Gomm, Sever Silvestru Dragomir

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.04.005

zbMATH Keywords

convex functionsfunctions of bounded variationLipschitzian functionsabsolutely continuous functionsgeneralised trapezoid inequalityOstrowski inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (17)

Bounds for the weighted Dragomir-Fedotov functional ⋮ Some companions of perturbed Ostrowski-type inequalities based on the quadratic kernel function with three sections and applications ⋮ Some perturbed Ostrowski type inequalities for functions of bounded variation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications ⋮ Unnamed Item ⋮ Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications ⋮ New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann-Stieltjes integrals and their applications ⋮ A companion of Dragomir's generalization of the Ostrowski inequality and applications to numerical integration ⋮ Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Unnamed Item ⋮ INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I ⋮ Unnamed Item ⋮ Unnamed Item ⋮ NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS

Cites Work

• Error inequalities for a generalized trapezoid rule
• Some Ostrowski-Grüss type inequalities and applications
• On the Ostrowski's integral inequality for mappings with bounded variation and applications
• The Ostrowski integral inequality for mappings of bounded variation
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