Geodesic
Trigonometric series with coefficients general monotone with respect to subsequences
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2021), pp. 11-30

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Functions, represented as trigonometric series with general monotone according subsequences Fourier coefficients, are considered in the article. For such functions estimates of the norm and modulus of smoothness are given.
Keywords: general monotone subsequences, moduli of smoothnes.
Mots-clés : Fourier serie, coefficient 
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     author = {I. E. Simonova and B. V. Simonov},
     title = {Trigonometric series with coefficients general monotone with respect to subsequences},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {11--30},
     publisher = {mathdoc},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_1_a1/}
}
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I. E. Simonova; B. V. Simonov. Trigonometric series with coefficients general monotone with respect to subsequences. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2021), pp. 11-30. http://geodesic.mathdoc.fr/item/IVM_2021_1_a1/