Approximation of Functions in Symmetrical and Connected Holder Spaces by Linear Means of Fourier--Vilenkin Series
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 287-294

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In this paper some summation methods are applied to Fourier-Vilenkin series in so called symmetric spaces. These methods use triangular matrix with sums in rows tending to zero and with some conditions on difference of coefficients. The triginometric counterpart of our results are due to M. L. Mittal, B. E. Rhoades, A. Guven, etc.
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     author = {T. V. Likhacheva},
     title = {Approximation of {Functions} in {Symmetrical} and {Connected} {Holder} {Spaces} by {Linear} {Means} of {Fourier--Vilenkin} {Series}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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T. V. Likhacheva. Approximation of Functions in Symmetrical and Connected Holder Spaces by Linear Means of Fourier--Vilenkin Series. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 287-294. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a6/