Extremal properties of monosplines and best quadrature formulas

DOI10.1007/BF01158137zbMath0503.41010MaRDI QIDQ1173224

A. A. Zhensykbaev

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

best quadrature formulaconstructions of best quadrature formulaemonospline of minimal normzeros of monosplines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Unnamed Item
• Local behavior of the solution of a second-order parabolic equation near the lower section of a parabolic boundary
• Monosplines and best quadrature formulae for certain classes of nonperiodic functions
• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• On a nonlinear characterization problem for monosplines
• Best quadrature formula for the class \(W^rL_2\)
• Spline functions, convex curves and mechanical quadrature
• On monosplines of least deviation
• Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines

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