Quadrature formulae of Gauss type based on Euler identities

DOI10.1016/J.MCM.2006.05.009zbMath1175.41028OpenAlexW1980995554MaRDI QIDQ1025676

Ivan Perić, Josip E. Pečarić, Iva Franjić

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.05.009

zbMATH Keywords

quadrature formulaeBernoulli polynomialscorrected Gauss formulaecorrected quadrature formulaeextended Euler formulaeGauss formulae

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Schur-convexity and monotonicity of error of a general three-point quadrature formula ⋮ Schur-convexity and quadrature formulae ⋮ On families of quadrature formulas based on Euler identities ⋮ Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type ⋮ GENERAL THREE-POINT QUADRATURE FORMULAS OF EULER TYPE ⋮ INTEGRAL ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED INEQUALITIES FOR QUADRATURE FORMULAE

Cites Work

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• Sharp integral inequalities based on general Euler two-point formulae
• Error Estimates in Gaussian Quadrature for Functions of Bounded Variation
• A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations
• On generalizations of Ostrowski inequality via some Euler-type identities
• Euler-Maclaurin formulae
• On dual Euler-Simpson formulae

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