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On -convergence of Fourier series |
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| Authors: | Sergey Tikhonov |
| Institution: | aICREA and Scuola Normale Superiore, Piazza dei Cavalieri 7, Pisa 56126, Italy |
| Abstract: | In this paper we consider the trigonometric Fourier series with the β-general monotone coefficients. Necessary and sufficient conditions of L1-convergence for such a series, that is  f−Sn=o(1), are obtained in terms of coefficients. |
| Keywords: | Trigonometric series color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4SK07X2-2&_mathId=mml4&_user=6189383&_cdi=6894&_rdoc=8&_acct=C000053510&_version=1&_userid=1524097&md5=15862de0471ae2055f912ba39dbe5def" title="Click to view the MathML source" L1-convergence" target="_blank">alt="Click to view the MathML source">L1-convergence β -general monotone sequences |
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