Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators

DOI10.1016/J.CAMWA.2007.07.021zbMath1165.26322OpenAlexW2025887764MaRDI QIDQ1029861

J. Blot

Publication date: 13 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.07.021

zbMATH Keywords

Stieltjes integralOstrowski inequalityintegral inequalitiesquadrature rulestrapezoidal rulemid-point rule

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical integration (65D30)

Related Items (14)

Bounds for the weighted Dragomir-Fedotov functional ⋮ Trapezoid type inequalities for complex functions defined on the unit circle with applications for unitary operators in Hilbert spaces ⋮ Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Some Lipschitz type inequalities for complex functions ⋮ Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann-Stieltjes integrals and their applications ⋮ Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules ⋮ Some Weighted Inequalities for Riemann–Stieltjes Integral When a Function Is Bounded ⋮ Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications ⋮ Generalised trapezoid-type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I ⋮ A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

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