The Journal of the Indian Mathematical Society

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On the Order of Fourier Coefficients of a Lacunary Fourier Series


Affiliations
1 Department of Mathematics, M.S. University of Baroda, Baroda-390 002, India
     

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Let ∑ (ank con nkx + bnk sin nkx) be the Fourier series of a 2π-periodic function f ∈ L [—π, π] with an infinity of gaps (nk, nk+1) where {nk} (k∈ N ) is a strictly increasing sequence of natural numbers.
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  • 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, India
V. M. Shah
Department of Mathematics, M.S. University of Baroda, Baroda-390 002, India

Abstract


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