Bounding the Čebyšev functional for the Riemann-Stieltjes integral via a Beesack inequality and applications

DOI10.1016/J.CAMWA.2009.07.029zbMath1189.26041OpenAlexW2132860494MaRDI QIDQ979947

Sever Silvestru Dragomir, Pietro Cerone

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.029

zbMATH Keywords

integral inequalitiesquadrature rulesRiemann-Stieltjes integralČebyšev functional

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical integration (65D30) Functions of bounded variation, generalizations (26A45)

Related Items (4)

Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ An inequality for covariance with applications ⋮ A new generalized inequality for covariance in \(N\) dimensions

Cites Work

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• Bounds for Riemann-Stieltjes integrals
• A NEW GENERALIZATION OF THE TRAPEZOID FORMULA FOR n-TIME DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• NEW ESTIMATES OF THE CEBYSEV FUNCTIONAL FOR STIELTJES INTEGRALS AND APPLICATIONS
• Sharp bounds of Čebyšev functional for Stieltjes integrals and applications
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• An Inequality for the Riemann-Stieltjes Integral

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