On linear methods of summation of Fourier series with respect to multiplicative systems

S. L. Blyumin

doi:10.1007/bf02204797

journal article Mar 01, 1968

On linear methods of summation of Fourier series with respect to multiplicative systems

S. L. Blyumin

Siberian Mathematical Journal Vol. 9 No. 2 pp. 339-344 · Springer Science and Business Media LLC

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References

6

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S. Kaczmarz and H. Sicinhaus, Theorie des Orthogonalreihen, Marszawa-Lwow (1935).

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N. J. Fine, On the Walsh Functions, Trans. Amer. Math. Soc.,65, 372–414 (1919). 10.1090/s0002-9947-1949-0032833-2

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S. Yano, On Approximation by Walsh Functions, Proc. Amer. Math. Soc.,2, 962–967 (1951). 10.1090/s0002-9939-1951-0045235-4

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A. V. Efimov, On Some Approximate Properties of Periodic Multiplicative Orthonormal Systems, Matem. Sb.,69, No. 3, 354–370 (1966).

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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).

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S. B. Stechkin, On the Approximation of Periodic Functions by Fejer Sums, Tr. Matem. In-ta im V. A. Steklova,62, 48–60 (1961).

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Published: Mar 01, 1968
Vol/Issue: 9(2)
Pages: 339-344
License: View

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S. L. Blyumin

Cite This Article

S. L. Blyumin (1968). On linear methods of summation of Fourier series with respect to multiplicative systems. Siberian Mathematical Journal, 9(2), 339-344. https://doi.org/10.1007/bf02204797

On linear methods of summation of Fourier series with respect to multiplicative systems

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