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S. B. Stechkin, The Order of Best Approximations for Continuous Functions, Izv. Akad. Nauk SSSR, Seriya Matem.,15, No. 3, 212–242 (1941).
I. P. Natanson, Constructive Function Theory [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
G. Szegö, Über einem Satz des Herrn Bernstein, Schreiften Königsb, Ges. (1928).
V. V. Zhuk, Approximation of 2π-periodic Functions by Linear Operators, Sb. Nauchnykh Trudov Leningr. Mekhan. In-ta, No. 50, 93–115 (1965).
R. M. Trigub, Constructive Characteristics of Certain Function Classes, Izv. Akad. Nauk SSSR, Seriya Matem.,29, No. 5, 615–630 (1965).
A. F. Timan, Approximation of Functions of One Variable [in Russian], Fizmatgiz, Moscow (1960).
S. B. Stechkin, The Approximation of Periodic Functions by Fejér Sums, Trudy Matem. In-ta im. V. A. Steklov,62, 48–60 (1961).
M. F. Timan, Best Approximation of Functions and Linear Methods of Summation of Fourier Series, Izv. Akad. Nauk SSSR, Seriya Matem.,29, No. 4, 585–604 (1965).
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 3, pp. 713–716, May–June, 1968.
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Zhuk, V.V. The approximation of periodic functions by linear summation methods for Fourier series. Sib Math J 9, 534–536 (1968). https://doi.org/10.1007/BF01040918
- Fourier Series
- Periodic Function
- Summation Method
- Linear Summation
- Linear Summation Method