Izvorni znanstveni članak
Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients
Ž. Tomovski
Puni tekst: engleski pdf 90 Kb
str. 219-224
preuzimanja: 700
citiraj
APA 6th Edition
Tomovski, Ž. (1999). Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients. Mathematical Communications, 4 (2), 219-224. Preuzeto s https://hrcak.srce.hr/875
MLA 8th Edition
Tomovski, Ž.. "Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients." Mathematical Communications, vol. 4, br. 2, 1999, str. 219-224. https://hrcak.srce.hr/875. Citirano 28.11.2024.
Chicago 17th Edition
Tomovski, Ž.. "Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients." Mathematical Communications 4, br. 2 (1999): 219-224. https://hrcak.srce.hr/875
Harvard
Tomovski, Ž. (1999). 'Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients', Mathematical Communications, 4(2), str. 219-224. Preuzeto s: https://hrcak.srce.hr/875 (Datum pristupa: 28.11.2024.)
Vancouver
Tomovski Ž. Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients. Mathematical Communications [Internet]. 1999 [pristupljeno 28.11.2024.];4(2):219-224. Dostupno na: https://hrcak.srce.hr/875
IEEE
Ž. Tomovski, "Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients", Mathematical Communications, vol.4, br. 2, str. 219-224, 1999. [Online]. Dostupno na: https://hrcak.srce.hr/875. [Citirano: 28.11.2024.]
Sažetak
For a cosine trigonometric series with coefficients in the class
S_p(δ), 1 < p ≤ 2, the necessary and sufficient condition for
L^1 -convergence is obtained.
Ključne riječi
δ-quasi-monotone sequence; cosine trigonometric series; Fourier series; Dirichlet kernel; Abel's transformation; Holder inequality; Hausdorff-Young inequality; L^1-convergence of Fourier series
Hrčak ID:
875
URI
https://hrcak.srce.hr/875
Datum izdavanja:
11.12.1999.
Posjeta: 1.361
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