Monotonicity of quadrature formulae of Gauss type and comparison theorems for monosplines

DOI10.1007/BF01405566zbMath0557.41023MaRDI QIDQ762393

D. Kharzeev

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132940

zbMATH Keywords

comparison theoremsmoment theorymonosplinesmonotonicity for quadrature formulaeone-sided \(L_ 1\)-approximation

Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (4)

Comparison theorems for monosplines and best one-sided approximation ⋮ Comparison of optimal quadrature formulas ⋮ On the Gauss transform of polynomial spline spaces ⋮ On tchebycheffian monosplines and approximation by splines with free knots

Cites Work

• Dividierte Differenzen und Monotonie von Quadraturformeln
• Error estimates for interpolatory quadrature formulae
• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• Monotonie bei den Quadraturverfahren von Gauß und Newton-Cotes
• Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
• Best quadrature formulas and splines

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