Geodesic
Approximation properties of mixed series in terms of Legendre polynomials on the classes $W^r$
Sbornik. Mathematics, Tome 197 (2006) no. 3, pp. 433-452 
I. I. Sharapudinov. Approximation properties of mixed series in terms of Legendre polynomials on the classes $W^r$. Sbornik. Mathematics, Tome 197 (2006) no. 3, pp. 433-452. http://geodesic.mathdoc.fr/item/SM_2006_197_3_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The study of the approximation properties on the class $W^r$ of partial sums of a mixed series in terms of Legendre polynomials is continued. Bibliography: 7 titles.

[1] I. I. Sharapudinov, “Priblizhenie funktsii s peremennoi gladkostyu summami Fure–Lezhandra”, Matem. sb., 191:5 (2000), 143–160 | MR | Zbl

[2] I. I. Sharapudinov, “Smeshannye ryady po ultrasfericheskim polinomam i ikh approksimativnye svoistva”, Matem. sb., 194:3 (2003), 115–148 | MR | Zbl

[3] I. I. Sharapudinov, “Approksimativnye svoistva operatorov $\mathscr Y_{n+2r}(f)$ i ikh diskretnykh analogov”, Matem. zametki, 72:5 (2002), 765–795 | MR | Zbl

[4] S. A. Telyakovskii, “Dve teoremy o priblizhenii funktsii algebraicheskimi mnogochlenami”, Matem. sb., 70:2 (1966), 252–265

[5] I. Z. Gopengauz, “K teoreme A. F. Timana o priblizhenii funktsii mnogochlenami na konechnom otrezke”, Matem. zametki, 1:2 (1967), 163–172 | MR | Zbl

[6] G. Segë, Ortogonalnye mnogochleny, Fizmatgiz, M., 1962

[7] S. A. Agakhanov, G. I. Natanson, “Funktsiya Lebega summ Fure–Yakobi”, Vestn. LGU, 1968, no. 1, 11–23 | MR | Zbl