Dividierte Differenzen und Monotonie von Quadraturformeln

DOI10.1007/BF01396053zbMath0413.65012OpenAlexW105136237MaRDI QIDQ598770

F. Locher

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/132662

zbMATH Keywords

weightsknotsquadrature formulaemonotone convergencedivided differencesNewton-Cates-formulae

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25)

Related Items (4)

Exit criteria and monotonicity in compound quadrature of Gaussian type ⋮ A New Approach to Positivity and Monotonicity for the Trapezoidal Method and Related Quadrature Methods ⋮ Monotonicity of quadrature formulae of Gauss type and comparison theorems for monosplines ⋮ Bemerkungen zur optimalen Tschebyscheff-Typ Quadratur

Cites Work

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• Monotonie bei den Quadraturverfahren von Gauß und Newton-Cotes
• On the Expansion of the Remainder in the Newton-Cotes Formula
• Approximation von Funktionen und ihre numerische Behandlung
• Norm Bounds of Quadrature Processes

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