On the Order of Fourier Coefficients of a Lacunary Fourier Series

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Authors

  • N. V. Patel
     Department of Mathematics, M.S. University of Baroda, Baroda-390 002 ,IN
  • V. M. Shah
     Department of Mathematics, M.S. University of Baroda, Baroda-390 002 ,IN

Abstract

Let ∑ (ank con nkx + bnk sin nkx) be the Fourier series of a 2Ï€-periodic function f ∈ L [”Ï€, Ï€] with an infinity of gaps (nk, nk+1) where {nk} (k∈ N ) is a strictly increasing sequence of natural numbers.

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Published

1988-12-01

How to Cite

Patel, N. V., & Shah, V. M. (1988). On the Order of Fourier Coefficients of a Lacunary Fourier Series. The Journal of the Indian Mathematical Society, 53(1-4), 209–215. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/22007

Issue

Volume 53, Issue 1-4, January-December 1988

Section

Articles

License

Copyright (c) 1988 N. V. Patel, V. M. Shah

Creative Commons License

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