The problem of the best linear methods for approximating functions which are analytic in the unit circle. (English. Russian original) Zbl 0199.12702
Ukr. Math. J. 19(1967), 216-220 (1968); translation from Ukr. Mat. Zh. 19, No. 2, 104-109 (1967).
Keywords:
complex functionsCitations:
Zbl 0158.313References:
| [1] | K. I. Babenko, ?The best approximation to a class of analytic functions,? Izv. Akad. Nauk SSSR,22, No.5, 631-640 (1958). |
| [2] | L. V. Taikov, ?The best linear methods of approximating functions of classes Br and Hr,? Usp. Matem. Nauk,18, No.4 (112) (1963). |
| [3] | A. V. Letnikov, ?Investigations concerning the theory of integrals of the form \(\int\limits_a^x {(x - u)p - 1f(u)du} \) ,? Matem. Sb.,7, No. 1, 1-205 (1874). |
| [4] | W. E. Sewell, ?Generalized derivatives and approximations by polynomials,? Trans. Am. Math. Soc.,41, No. 1, 84-123 (1937). · Zbl 0016.10702 · doi:10.1090/S0002-9947-1937-1501892-1 |
| [5] | P. Montel, ?Sur les polynomes d’approximation,? Bull. Soc. Math. de France,46, 151-196 (1919). · JFM 46.0417.02 |
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