On the Absolute Norlund Summability of Double Fourier Series

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Authors

  • Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara - 390 002 (Gujarat) ,IN
  • Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara - 390 002 (Gujarat) ,IN

DOI:

https://doi.org/10.18311/jims/2024/33311

Keywords:

Absolute Norlund Summability, Function of Bounded Variation in the Sense Hardy, Double Fourier Series.

Abstract

In this paper, we give sufficient conditions for the absolute N¨orlund summability of double Fourier series. In particular, we get sufficient conditions for the absolute Ces`aro summability of double Fourier series. We also give sufficient conditions for regularity in the sense of Hardy of N¨orlund summability for a double sequence.

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Published

2024-07-01

How to Cite

Bhuva, P. A., & Ghodadra, B. L. (2024). On the Absolute Norlund Summability of Double Fourier Series. The Journal of the Indian Mathematical Society, 91(3-4), 511–536. https://doi.org/10.18311/jims/2024/33311
Received 2023-03-17
Accepted 2023-08-17
Published 2024-07-01

 

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