Original scientific paper
Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients
Ž. Tomovski
Full text: english pdf 90 Kb
page 219-224
downloads: 651
cite
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. Retrieved from 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, no. 2, 1999, pp. 219-224. https://hrcak.srce.hr/875. Accessed 20 May 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, no. 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), pp. 219-224. Available at: https://hrcak.srce.hr/875 (Accessed 20 May 2024)
Vancouver
Tomovski Ž. Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients. Mathematical Communications [Internet]. 1999 [cited 2024 May 20];4(2):219-224. Available from: 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, no. 2, pp. 219-224, 1999. [Online]. Available: https://hrcak.srce.hr/875. [Accessed: 20 May 2024]
Abstract
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.
Keywords
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
Publication date:
11.12.1999.
Visits: 1.093
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