On the Stability of Midpoint Smoothing with Legendre Polynomials

DOI10.2307/2035259zbMath0234.65016OpenAlexW4252396425MaRDI QIDQ5643487

William F. Trench

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/2035259

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (5)

A Bessel function inequality connected with stability of least square smoothing, II ⋮ Differentiation by integration using orthogonal polynomials, a survey ⋮ Bounds on the Generating Functions of Certain Smoothing Operations ⋮ Discrete minimum variance smoothing of a polynomial plus random noise ⋮ Strong discrete minimum variance estimation of a polynomial plus random noise

Cites Work

• The Stability of Smoothing by Least Squares
• A Bessel Function Inequality Connected with Stability of Least Square Smoothing
• On Stability of Linear Smoothing Formulas
• On smoothing operations and their generating functions

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