An Inequality of Ostrowski Type and Its Applications for Simpson's Rule and Special Means

DOI10.7153/mia-02-39zbMath0944.26026OpenAlexW2024257146MaRDI QIDQ4704564

I. A. Fedotov, Sever Silvestru Dragomir

Publication date: 18 September 2000

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-02-39

zbMATH Keywords

Simpson's ruleGrüss conditionsOstrowski's integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Means (26E60)

Related Items (11)

On sharp inequalities of Simpson type and Ostrowski type in two independent variables ⋮ A representation of the Peano kernel for some quadrature rules and applications ⋮ Some new estimates for the error of Simpson integration rule ⋮ Unnamed Item ⋮ New error bounds for the Simpson's quadrature rule and applications ⋮ Sharp inequalities of Simpson type and Ostrowski type ⋮ A new inequality of Ostrowski-Grüss type and applications to some numerical quadrature rules ⋮ A MAIN CLASS OF INTEGRAL INEQUALITIES WITH APPLICATIONS ⋮ Grüss-type inequalities ⋮ Some inequalities for probability, expectation, and variance of random variables defined over a finite interval ⋮ The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables

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