Polynomial interpolation, an \(L\)-function, and pointwise approximation of continuous functions
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Publication:935077
DOI10.1016/j.jat.2006.09.008zbMath1158.41003OpenAlexW2094267550MaRDI QIDQ935077
Publication date: 31 July 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2006.09.008
polynomial approximationLagrange interpolationChebyshev nodesL-functionnear best polynomial approximationpointwise rapid convergence
(zeta (s)) and (L(s, chi)) (11M06) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)
Related Items (3)
Lagrange Interpolation and New Asymptotic Formulae for the Riemann Zeta Function ⋮ Extremal polynomials and entire functions of exponential type ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\)
Cites Work
- Polynomial approximation of piecewise analytic functions
- Best approximation of sums of elements and a theorem of Newman and Shapiro
- On the Bernstein conjecture in approximation theory
- Limit theorems for the best polynomial approximations in the \(L_ \infty\) metric
- Best approximation and interpolation of \((1+(ax)^2)^{-1}\) and its transforms.
- Moduli of smoothness and best approximation of functions with singularities
- The Bernstein constant and polynomial interpolation at the Chebyshev nodes.
- A Hilbert transform representation of the error in Lagrange interpolation
- Some theorems on Cebysev approximation
- Approximation by Polynomials with Locally Geometric Rates
- On the approximation of certain functions by interpolating polynomials
- Polynomial Approximation of Piecewise Analytic Functions
- On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials
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