A theorem on mappings with bounded derivatives with applications to quadrature rules and means.

DOI10.1016/S0096-3003(02)00146-7zbMath1033.26023MaRDI QIDQ1406150

Muhamet Emin Özdemir

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical integrationquadrature formulasbounded mappingDragomir's inequalitytrapezoid and mid-point inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

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Cites Work

• Unnamed Item
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules