Literature Cited
S. M. Nikol'skii, Linear Methods of Summing Fourier Series, Izv. Akad. Nauk SSSR, Sc., Matem.,12, 259–278 (1918).
S. B. Stechkin, Coefficients for Trigonometric Polynomials, Dokl. Akad. Nauk SSSR,75, 165–168 (1950).
A. F. Timan, Linear Processes for Approximation by Algebraic Polynomials, Lebesgue Functions: and Certain Applications to Fourier Series, Dokl. Akad. Nauk SSSR,101, No. 2, 221–224 (1955).
I. M. Ganzburg and A. F. Timan, Linear Processes of the Approximation by Algebraic Polynomials of Functions which Satisfy the Lipschitz Condition, Izv. Akad. Nauk SSSR, Ser. Matem.,22, 771–810 (1958).
A. V. Efimov, Linear Methods of Summing Fourier Series, Izv. Akad. Nauk SSSR, Ser. Matem.,24, 743–756 (1960).
A. V. Efumov, Evaluation of an Integral from the Modulus of a Polynomial on the Unit Circle, Usp. Matem. Nauk,15, No. 4, 215–218 (1960).
S. A. Telyadovskii, Norms of Trigonometric Polynomials and Approximation of Differentiable Functions by Linear Mean Values of Their Fourier Series, I. Trudy Matem. Inst. im. V. A. Steklov, Akad. Nauk SSSR,62, 61–97 (1961).
S. A. Telyakovskii, Norms of Trigonometric Polynomials and Approximation of Differentiable Functions by Linear Mean Values of Their Fourier Series, II, Izv. Akad. Nauk SSSR, Ser. Matem.,27, 253–272 (1963).
A. F. Timan, The Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 1, pp. 67–76, January–February, 1968.
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Zakharov, A.A. Norms of trigonometric polynomials. Soviet Mathematical Journal 9, 51–58 (1968). https://doi.org/10.1007/BF02196655
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DOI: https://doi.org/10.1007/BF02196655