The Exact Form of the Second Moment of Third Degree Schoenberg Spline Operators

DOI10.1080/01630563.2020.1764031zbMath1447.41001OpenAlexW3028318698MaRDI QIDQ5119509

Camelia Liliana Moldovan, Radu Păltănea

Publication date: 28 August 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1764031

zbMATH Keywords

splinesinvariant subspacesdegree of approximationVoronovskaja theoremsecond momentKing-type operatorsSchoenberg operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Approximation by positive operators (41A36)

Cites Work

• General King-type operators
• Positive linear operators which preserve \(x^2\)
• Second degree Schoenberg operators with knots at the roots of Chebyshev polynomials
• An identity for spline functions with applications to variation diminishing spline approximation
• On uniform spline approximation
• Voronovskaja's theorem for Schoenberg operator
• Piecewise Linear Interpolation With Nonequidistant Nodes
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