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Lobachevskii Journal of Mathematics, 2003, Volume 12, Pages 3–10
(Mi ljm108)
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$L^1$-convergence of modified complex trigonometric sums
S. S. Bhatiaab, K. Kaurba, B. Ramab
a School of Mathematics and Computer Applications, Thapar Institute
of Engineering and Technology
b Maharshi Dayanand University
Abstract:
In this paper we study $L^1$-convergence of modified complex trigonometric sums introduced by Ram and Kumari [2] and obtain a necessary and sufficient condition for $L^1$-convergence of Fourier series under a new class ${\rm K}^*$ of coefficients.
Keywords:
$L^1$-convergence of modified complex trigonometric sums, $L^1$-convergence of Fourier series, Dirichlet kernel.
Citation:
S. S. Bhatia, K. Kaur, B. Ram, “$L^1$-convergence of modified complex trigonometric sums”, Lobachevskii J. Math., 12 (2003), 3–10
Linking options:
https://www.mathnet.ru/eng/ljm108 https://www.mathnet.ru/eng/ljm/v12/p3
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| Abstract page: | 568 | | Full-text PDF : | 84 | | References: | 44 |
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