On approximation, in the strong sense, of functions of two variables by trigonometric polynomials

V.V. Lipovik (Dnipropetrovsk State University)
N.P. Khoroshko (Dnipropetrovsk State University)

Abstract


In the paper, we have found order asymptotic estimates of approximations, in the strong sense, relative to given matrix of classes of continuous periodic functions of two variables by some trigonometric polynomials.

References


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Aleksich G. Problems of convergence of orthogonal series, 1963. (in Russian)

Aleksits D., Kralik D. "Über der Annäherungsgrad der Approximation im starken Sinne von stetigen Funktionen", Publ. Math. Inst. Hung. Acad. Sci., 1963; 8A: pp. 317-327. (in German)

Leindler L. "Über die Approximation im starken Sinne", Publ. Math. Inst. Hung. Acad. Sci., 1965; 16(1-2): pp. 255-262. (in German)

Lipovik V.V., Dukhovchenko V.I., Gubanov G.P. "On order of approximation, in the strong sense, of periodic functions by trigonometric polynomials", Res. Math., 1974; 5. (in Russian)

Zygmund A. Trigonometric series. Vol 2, Mir, 1965; (in Russian)




DOI: https://doi.org/10.15421/247706

  

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Copyright (c) 1977 V.V. Lipovik, N.P. Khoroshko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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