Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications

DOI10.1016/j.mcm.2011.02.006zbMath1225.65030OpenAlexW1980880908MaRDI QIDQ646076

Sever Silvestru Dragomir

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.006

zbMATH Keywords

Riemannselfadjoint operatorsspectral representationStieltjes integralfunctions of selfadjoint operatorsinequalities for selfadjoint operatorstrapezoidal quadrature rule

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (8)

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ 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 ⋮ The fuzzy Riemann-Stieltjes integral ⋮ New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann-Stieltjes integrals and their applications ⋮ Wrong way risk corrections to CVA in CIR reduced-form models ⋮ Sharp inequality of three point Gauss—Legendre quadrature rule ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Hadamard's inequality and trapezoid rules for the Riemann-Stieltjes integral
• Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
• A perspective on the numerical treatment of Volterra equations
• Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral.
• On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
• Quadrature formulas for the generalized Riemann-Stieltjes integral
• On a Simple Numerical Method for Computing Stieltjes Integrals in Reliability Theory
• Closed Newton–Cotes Quadrature Rules for Stieltjes Integrals and Numerical Convolution of Life Distributions
• An Elementary Proof of Error Estimates for the Trapezoidal Rule
• The Ostrowski integral inequality for mappings of bounded variation

This page was built for publication: Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications