Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1134/S0001434608090125.pdf
Reference8 articles.
1. I. I. Sharapudinov, “Approximation of functions of variable smoothness by Fourier-Legendre sums,” Mat. Sb. 191(5), 143–160 (2000) [Russian Acad. Sci. Sb. Math. 191 (5), 759–777 (2000)].
2. I. I. Sharapudinov, “The mixed series by Улътрасферическим the polynomials and them the approximation properties,” Mat. Sb. 194(3), 115–148 (2003) [Russian Acad. Sci. Sb. Math. 194 (3), 423–456 (2003)].
3. I. I. Sharapudinov, “Approximation properties of the operators % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaqefSuDUnhDSvMCGm1yYLgC0bacgaGae8xwaKfa % aa!431F! $$ Y $$ n+2r (f) and of their discrete analogs,” Mat. Zametki 72(5), 765–795 (2002) [Math. Notes 72 (5), 705–732 (2002)].
4. I. I. Sharapudinov, Mixed Series of Orthogonal Polynomials: Theory and Applications (DNTs RAN, Makhachkala, 2004) [in Russian].
5. I. I. Sharapudinov, “Approximation properties of mixed series in terms of Legendre polynomials on the classes W r,” Mat. Sb. 197(3), 135–154 (2006) [Russian Acad. Sci. Sb. Math. 197 (3), 433–452 (2006)].
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