A New Approach to Positivity and Monotonicity for the Trapezoidal Method and Related Quadrature Methods

DOI10.1007/978-3-319-49242-1_21zbMath1369.41034OpenAlexW2604928173MaRDI QIDQ5348608

Qazi Ibadur Rahman, Gerhard Schmeisser

Publication date: 18 August 2017

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49242-1_21

zbMATH Keywords

positive definite functionsquadraturetrapezoidal methodmonotonically decreasing remainderspositive remainders

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30) Remainders in approximation formulas (41A80)

Cites Work

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• On the unimodality of discrete distributions
• Über Monotonie und Fehlerkontrolle bei den Gregoryschen Quadraturverfahren
• Monotonicity of Quadrature Approximations
• Monotonicity in Romberg Quadrature
• Intervallschachtelungen beim Romberg‐Verfahren

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