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Summation of multiple trigonometric series by generalized methods formulated using δ -like finite functions

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We consider the generalized sums of multiple trigonometric series. We investigate the sufficient conditions of convergence of the series obtained by termwise differentiation of the series for Lebesgue integrable functions as well as the errors of approximation of functions by sequences of generalized partial sums of series.

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” National University, Lviv, Ukraine

    M. A. Sukhorol’s’kyi & O. Z. Lyubyts’ka

Authors
  1. M. A. Sukhorol’s’kyi
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  2. O. Z. Lyubyts’ka
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 3, pp. 67–77, July–September, 2009.

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Sukhorol’s’kyi, M.A., Lyubyts’ka, O.Z. Summation of multiple trigonometric series by generalized methods formulated using δ -like finite functions. J Math Sci 171, 499–515 (2010). https://doi.org/10.1007/s10958-010-0153-1

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  • DOI: https://doi.org/10.1007/s10958-010-0153-1

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