Some polynomial approximation operators

DOI10.1007/BF01214496zbMath0295.41003MaRDI QIDQ1213085

E. W. Cheney, T. J. Rivlin

Publication date: 1975

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172267

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (8)

Local and global Lipschitz constants ⋮ Alternating trigonometric polynomials ⋮ Alternating polynomials associated with the Chebyshev-extrema nodes ⋮ Trefftz approximations in complex media: accuracy and applications ⋮ Some polynomial projections with finite carrier ⋮ On bounds for the norm of certain symmetric projections with a finite carrier ⋮ Orthogonal projections in spaces of continuous functions ⋮ A short note about pointwise divergence of Jacobi expansion for continuous functions

Cites Work

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• On an approximation operator of de la Vallee Poussin
• A theorem on interpolation in Haar subspaces
• Auswertung der Normen von Interpolationsoperatoren
• A sequence of linear polynomial operators and their approximation- theoretic proxperties
• Problems and results on the theory of interpolation. II
• On the existence and characterization of minimal projections.
• On a certain class of Lebesgue constants
• On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
• Next-To-Interpolatory Approximation on Sets with Multiplicities

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