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Volume 29, Issue 1
Order of Magnitude of Multiple Fourier Coefficients

R. G. Vyas & K. N. Darji

Anal. Theory Appl., 29 (2013), pp. 27-36.

Published online: 2013-03

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  • Abstract

The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like $(\Lambda^1,\cdots, \Lambda^N)BV^{(p)}$ and $r-BV$, over $[0, 2\pi]^{N},$ are estimated.

  • AMS Subject Headings

42B05, 26B30, 26D15

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COPYRIGHT: © Global Science Press

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@Article{ATA-29-27, author = {}, title = {Order of Magnitude of Multiple Fourier Coefficients}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {1}, pages = {27--36}, abstract = {

The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like $(\Lambda^1,\cdots, \Lambda^N)BV^{(p)}$ and $r-BV$, over $[0, 2\pi]^{N},$ are estimated.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n1.4}, url = {http://global-sci.org/intro/article_detail/ata/4512.html} }
TY - JOUR T1 - Order of Magnitude of Multiple Fourier Coefficients JO - Analysis in Theory and Applications VL - 1 SP - 27 EP - 36 PY - 2013 DA - 2013/03 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n1.4 UR - https://global-sci.org/intro/article_detail/ata/4512.html KW - Order of magnitude of multiple Fourier coefficients, function of $(\Lambda^1 KW - \cdots KW - \Lambda^N) BV^{(p)}$, $r-BV$ and Lip$(p KW - \alpha_{1} KW - \cdots KW - \alpha_{N})$. AB -

The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like $(\Lambda^1,\cdots, \Lambda^N)BV^{(p)}$ and $r-BV$, over $[0, 2\pi]^{N},$ are estimated.

R. G. Vyas & K. N. Darji. (1970). Order of Magnitude of Multiple Fourier Coefficients. Analysis in Theory and Applications. 29 (1). 27-36. doi:10.4208/ata.2013.v29.n1.4
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