Weighted β−absolute Convergence of Single and Double Walsh−Fourier Series of Functions of Φ âˆ’ ∧ −BV

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Authors

  • Kiran N. Darji
     ,IN
  • Rajendra G. Vyas
     ,IN

DOI:

https://doi.org/10.18311/jims/2019/22561

Keywords:

Absolute Convergence, Walsh−Fourier Series, Functions of φ − ∧−Bounded Variation

Abstract

For one variable function of Φ − ∧−bounded variation on [0,1] the sufficient condition for the weighted β−absolute convergence of its Walsh−Fourier series ∑m γm| ˆ f(m)|β, where 0 < β < 2 and {γm} is a weighted sequence, is obtained and is extended for two dimensional analogue.

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Published

2018-12-12

How to Cite

Darji, K. N., & Vyas, R. G. (2018). Weighted β−absolute Convergence of Single and Double Walsh−Fourier Series of Functions of &#934; − &#8743; −BV. The Journal of the Indian Mathematical Society, 86(1-2), 22–37. https://doi.org/10.18311/jims/2019/22561

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 Kiran N. Darji, Rajendra G. Vyas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-10-23
Accepted 2023-01-30
Published 2018-12-12

 

References

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