Bounds for the Chebyshev functional and applications to the weighted integral formulae

DOI10.1016/j.amc.2015.07.004zbMath1410.65071OpenAlexW962792127MaRDI QIDQ668214

Juan-Miguel Gracia

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.004

zbMATH Keywords

Grüss inequalityChebyshev functionalGauss-Chebyshev formulaeweighted quadrature formulae

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (2)

Unnamed Item ⋮ Generalizations of Ostrowski type inequalities via Hermite polynomials

Cites Work

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• A Grüss type discrete inequality in inner product spaces and applications
• Sharp inequalities of Simpson type and Ostrowski type
• Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type
• Euler's method for weighted integral formulae
• A Grüss-type inequality and its applications
• New estimations of the remainder in three-point quadrature formulae of Euler type
• Some inequalities for the Čebyšev functional and Euler two-point formulae
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Some inequalities of Euler-Grüss type

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