Chebyshev transform methods in the theory of best algebraic approximation

DOI10.1007/BF02992913zbMath0337.41026OpenAlexW2076125272MaRDI QIDQ1230050

Paul L. Butzer, Rudolf L. Stens

Publication date: 1976

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02992913

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25)

Related Items

Characterization of best algebraic approximation by an algebraic modulus of smoothness, A modulus of smoothness based on an algebraic addition, On approximation processes defined by a cosine operator function, On best approximation of infinitely differentiable functions, On best approximation of infinitely differentiable functions, Fejér sums and Chebyshev polynomials, Finite tchebycheff transformations of generalized functions, On approximation by Cesaro means of the Laguerre expansion and best approximation, The foundations of fractional calculus in the Mellin transform setting with applications, Estimates for the modulus of continuity in the Jacobi frame, Estimations of chebyshev convolution operators by an algebraic modulus of smoothness, On Rogosinski-type approximation processes in Banach space using the framework of the cosine operator function, On a cosine operator function framework of approximation processes in Banach space, Power of Dirichlet kernels and approximation by discrete linear operators $\textit{I}$: direct results

Cites Work

• Interpolation in polynomial classes and Markoff's inequality
• The operational properties of the Chebyshev transform. I: General properties
• On Jackson's theorem
• On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
• Modulus of continuity conditions for Jacobi series
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
• Some Good Sequences of Interpolatory Polynomials
• A proof of Jackson’s theorem
• Approximation by non-negative algebraic polynomials
• An equivalence theorem on best approximation of continuous functions by algebraic polynomials
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