Determination of a jump by (E,q) means of Fourier-Stieltjes series
نویسندگان
چکیده
We generalize Fejer?s theorem for Fourier-Stieltjes series of functions bounded variation.
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15 صفحه اولOn Measure of Approximation by Means of Fourier Series
A many of approximation methods in C2 (Fej er, de la Vall ee Poussin etc.) may be generated via a certain function ' 2 C[0;1] with '(0) = 1, '(1) = 0. The function 'j(t) = cos(j 1=2) t (j 2 N) generates the Rogosinski approximation method [N. K. Bari, "A Treatise on Trigonometric Series," I, II, Pergamon Press, 1964]. Our idea consists in representing ' by the orthogonal system 'j to extend res...
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ژورنال
عنوان ژورنال: Publications De L'institut Mathematique
سال: 2023
ISSN: ['0350-1302', '1820-7405']
DOI: https://doi.org/10.2298/pim2327093k