On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series

Jena, B. B.; --, Vandana; Paikray, S. K.; Misra, U. K.

doi:10.28924/2291-8639-16-2018-209

Research Article

On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series

B. B. Jena
Vandana --*
S. K. Paikray
U. K. Misra

* Corresponding author

Abstract

The convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point and it leads to the local property of Fourier series. In the proposed paper a new result on local property of $|\mathcal{A};\delta|_{k}$-summability of factored Fourier series has been established that generalizes a theorem of Sarig\"{o}l [13] (see [M. A. Sari\"{o}gol, On local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series, \textit{J. Math. Anal. Appl.} 188 (1994), 118-127]) on local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series.

How to Cite

B. B. Jena, V. --, S. K. Paikray, U. K. Misra, On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series, Int. J. Anal. Appl. 16 (2018), 209–221. https://doi.org/10.28924/2291-8639-16-2018-209

BibTeX

@article{Jena2018,
  author  = {Jena, B. B. and --, Vandana and Paikray, S. K. and Misra, U. K.},
  title   = {On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {209--221},
  doi     = {10.28924/2291-8639-16-2018-209}
}

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