Hadamard's inequality and trapezoid rules for the Riemann-Stieltjes integral

DOI10.1016/j.jmaa.2008.03.026zbMath1147.26013OpenAlexW1989545130MaRDI QIDQ929572

Peter R. Mercer

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.026

zbMATH Keywords

quadrature formulasHadamard's inequality

Mathematics Subject Classification ID

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

Related Items (13)

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications ⋮ A tight Hermite-Hadamard inequality and a generic method for comparison between residuals of inequalities with convex functions ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ Robustness of sequential hypotheses testing for heterogeneous independent observations ⋮ Unnamed Item ⋮ Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications ⋮ Derivative-based trapezoid rule for the Riemann-Stieltjes integral ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Unnamed Item ⋮ INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I ⋮ Unnamed Item

Cites Work

• A perspective on the numerical treatment of Volterra equations
• Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral.
• Numerical Solutions of Renewal-Type Integral Equations
• 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
• Error analysis of some integration procedures for renewal equation and convolution integrals
• An Elementary Proof of Error Estimates for the Trapezoidal Rule

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