A unified approach to some inequalities of Ostrowski-Grüss type

DOI10.1016/J.CAMWA.2005.09.005zbMath1130.26022OpenAlexW1998450342MaRDI QIDQ2475891

Shijun Yang

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.09.005

zbMATH Keywords

error estimatequadrature formulaEuler-Maclaurin formulaOstrowski-Grüss type inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Numerical integration (65D30)

Related Items (5)

Some new generalized 2D Ostrowski-Grüss type inequalities on time scales ⋮ Some generalized Ostrowski-Grüss type integral inequalities ⋮ New Ostrowski-Grüss type inequalities with the derivatives bounded by functions ⋮ On some generalizations of an Ostrowski-Grüss type integral inequality ⋮ A new proof of inequality for continuous linear functionals

Cites Work

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• Improvement of some inequalities of Euler-Grüss type
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Grüss-type inequalities
• Univariate Ostrowski inequalities, revisited
• Sharp inequalities of Simpson type and Ostrowski type
• On generalizations of Ostrowski inequality via Euler harmonic identities
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• A note to Ujević's generalization of Ostrowski's inequality
• A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b\) and applications in numerical integration]
• Some inequalities of Euler-Grüss type

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