scientific article; zbMATH DE number 7360058

zbMath1474.65045MaRDI QIDQ4993817

Ana Avdzhieva, Geno Nikolov

Publication date: 16 June 2021

Full work available at URL: https://www.fmi.uni-sofia.bg/en/node/7752

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

spline functionsquadrature formulaeSobolev classes of functionsPeano kernelsasymptotically optimal quadrature formulaeEuler-MacLaurin summation formulae

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

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• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• Exact inequalities for splines and best quadrature formulas for certain classes of functions
• Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots
• On certain definite quadrature formulae
• Uniqueness of the Optimal Nodes of Quadrature Formulae
• ON THE BEST QUADRATURE FORMULA OF THE FORM $ \sum_{k=1}^np_kf(x_k)$ FOR SOME CLASSES OF DIFFERENTIABLE PERIODIC FUNCTIONS
• BEST QUADRATURE FORMULA FOR SOME CLASSES OF PERIODIC DIFFERENTIABLE FUNCTIONS

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