On $$$(W; p^{\alpha}(y))$$$-summation of trigonometrical Fourier integrals

L.G. Bojtsun (Oles Honchar Dnipropetrovsk National University)
T.I. Rybnikova (Oles Honchar Dnipropetrovsk National University)

Abstract


In this paper authors prove the theorems on the $$$(W; p^{\alpha}(y))$$$ summability of trigonometrical Fourier integrals.

Keywords


summability; Fourier integral; conjugate Fourier integral

References


Titchmarsh E.C. Introduction to the theory of Fourier integral, Moscow, 1948; 479 p. (in Russian)

Bojtsun L.G. "Summation of trigonometrical Fourier integrals by method of G.F. Voronoj", Izv. vuzov. Matematika, 1971; 10: pp. 16-23. (in Russian)




DOI: https://doi.org/10.15421/241502

  

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Copyright (c) 2015 L.G. Bojtsun, T.I. Rybnikova

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