A Certain Class of Weighted Approximations for Integrable Functions and Applications
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Publication:5396929
DOI10.1080/01630563.2013.774413zbMath1301.41021OpenAlexW1965986413MaRDI QIDQ5396929
Publication date: 4 February 2014
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2013.774413
Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical integration (65D30)
Related Items (2)
A GENERALIZATION OF THE OSTROWSKI–GRUSS INEQUALITY ⋮ A MAIN CLASS OF INTEGRAL INEQUALITIES WITH APPLICATIONS
Cites Work
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- Explicit forms of weighted quadrature rules with geometric nodes
- Nonstandard Gaussian quadrature formulae based on operator values
- An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
- Some Ostrowski-Grüss type inequalities and applications
- Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
- Closed expressions for coefficients in weighted Newton-Cotes quadratures
- Improvement of some Ostrowski-Grüss type inequalities
- Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]
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