Error Bounds for Trapezoid Type Quadrature Rules with Applications for the Mean and Variance

DOI10.1007/978-3-319-04720-1_5zbMath1298.41043OpenAlexW2183051741MaRDI QIDQ2926143

Pietro Cerone, Eder Kikianty, Sever Silvestru Dragomir

Publication date: 30 October 2014

Published in: Applications of Mathematics and Informatics in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04720-1_5

zbMATH Keywords

higher order momentsapproximations for the first and second momentsinequalities of trapezoid type

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximate quadratures (41A55)

Cites Work

• A note on an inequality involving the normal distribution
• Variance inequalities for functions of Gaussian variables
• Chernoff-type inequality and variance bounds
• Upper bounds for the variances of certain random variables
• Variance inequalities for covariance kernels and applications to central limit theorems
• On an Ostrowski type inequality for a random variable
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