Literature Cited
S. Kaczmarz and H. Sicinhaus, Theorie des Orthogonalreihen, Marszawa-Lwow (1935).
N. J. Fine, On the Walsh Functions, Trans. Amer. Math. Soc.,65, 372–414 (1919).
S. Yano, On Approximation by Walsh Functions, Proc. Amer. Math. Soc.,2, 962–967 (1951).
A. V. Efimov, On Some Approximate Properties of Periodic Multiplicative Orthonormal Systems, Matem. Sb.,69, No. 3, 354–370 (1966).
M. F. Timan, Best Approximation of Functions and Linear Methods of Summation of Fourier Series, Izv. Akad. Nauk SSSR, Ser. Matem.,29, No. 3, 587–604 (1965).
S. B. Stechkin, On the Approximation of Periodic Functions by Fejer Sums, Tr. Matem. In-ta im V. A. Steklova,62, 48–60 (1961).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 2, pp. 449–455, March–April, 1968.
Rights and permissions
About this article
Cite this article
Blyumin, S.L. On linear methods of summation of Fourier series with respect to multiplicative systems. Sib Math J 9, 339–344 (1968). https://doi.org/10.1007/BF02204797
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02204797