Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre-Sobolev polynomials
DOI10.1134/S0037446622030065zbMath1490.42007MaRDI QIDQ2671976
Publication date: 8 June 2022
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Cites Work
- Unnamed Item
- Asymptotics and weighted estimates of Meixner polynomials orthogonal on the grid \(\{ 0,\delta,2\delta,\dots\}\)
- On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials
- The Valleé-Poussin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums
- Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials
- On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials
- Mean Convergence of Expansions in Laguerre and Hermite Series
- Mean Convergence of Hermite and Laguerre Series. I
- Mean Cesaro Summability of Laguerre and Hermite Series
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