A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b]\) and applications in numerical integration

DOI10.1006/JMAA.2000.7300zbMath0984.26010OpenAlexW2051577806MaRDI QIDQ5934257

Sever Silvestru Dragomir

Publication date: 29 April 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7300

zbMATH Keywords

quadrature formulaOstrowski inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (15)

Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and application ⋮ Generalized weighted Ostrowski, trapezoid and Grüss type inequalities on time scales ⋮ On Beesack-Wirtinger inequality ⋮ Two-point Ostrowski's inequality ⋮ On some dynamic inequalities of Ostrowski, trapezoid, and Grüss type on time scales ⋮ Unnamed Item ⋮ On some investigations of alpha-conformable Ostrowski-trapezoid-Grüss dynamic inequalities on time scales ⋮ A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b) INVOLVING MULTIPLE POINTS] ⋮ Weighted Ostrowski integral inequalities for mappings whose derivatives belong to \(L_p(a,b)\) ⋮ Accurate Approximations of the Weighted Exponential Beta Function ⋮ A unified approach to some inequalities of Ostrowski-Grüss type ⋮ A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b\) and applications in numerical integration] ⋮ A general Ostrowski-type inequality ⋮ Generalized Ostrowski-type inequalities for s-convex functions on the coordinates via fractional integrals ⋮ Sharp bounds for integral means

Cites Work

• 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
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a,b\) and applications in numerical integration]
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