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Vyas, Rajendra G.
- Weighted β−absolute Convergence of Single and Double Walsh−Fourier Series of Functions of Φ − ∧ −BV
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Authors
Affiliations
1 Department of Science and Humanities, Tatva Institute of Technological Studies, Arvalli, IN
2 Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, IN
1 Department of Science and Humanities, Tatva Institute of Technological Studies, Arvalli, IN
2 Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, IN
Source
The Journal of the Indian Mathematical Society, Vol 86, No 1-2 (2019), Pagination: 22-37Abstract
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.Keywords
Absolute Convergence, Walsh−Fourier Series, Functions of φ − ∧−Bounded Variation.
References
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