A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

DOI10.1007/978-1-4939-1246-9_5zbMath1315.26019OpenAlexW77557685MaRDI QIDQ5251548

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Publication date: 20 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1246-9_5

zbMATH Keywords

Riemann-Stieltjes integralOstrowski type inequalitiestrapezoidal ruleabsolutely continuous function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (1)

Some Weighted Inequalities for Riemann–Stieltjes Integral When a Function Is Bounded

Cites Work

• The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables
• Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
• An Ostrowski like inequality for convex functions and applications.
• Univariate Ostrowski inequalities, revisited
• Sharp inequalities of Simpson type and Ostrowski type
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• Bounds on the deviation of a function from its averages
• Two Ostrowski type inequalities for the Stieltjes integral of monotonic functions
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