EN
Estimates of the norms of some cosine and sine series
Abstract
In the work we estimate the $\mathbb{L}^1$ norms of some special cosine and sine series used in studying fractional integrals.
Keywords
References
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- G. Brown, K. Y. Wang and D. C. Wilson: Positivity of some basic cosine sums, Math. Proc. Cambridge Philos. Soc., 114(3) (1993), 383–391.
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- J. W. Garrett, Cˇ . V. Stanojevic´: Necessary and sufficient conditions for $\mathbb{L}^1$ convergence of trigonometric series, Proc. Amer. Math. Soc., 60 (1976), 68–71.
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Details
Primary Language
English
Subjects
Lie Groups, Harmonic and Fourier Analysis
Journal Section
Research Article
Authors
Early Pub Date
August 18, 2023
Publication Date
September 15, 2023
Submission Date
August 17, 2023
Acceptance Date
August 18, 2023
Published in Issue
Year 2023 Volume: 6 Number: 3
APA
Bustamante, J. (2023). Estimates of the norms of some cosine and sine series. Constructive Mathematical Analysis, 6(3), 142-150. https://doi.org/10.33205/cma.1345440
AMA
1.Bustamante J. Estimates of the norms of some cosine and sine series. CMA. 2023;6(3):142-150. doi:10.33205/cma.1345440
Chicago
Bustamante, Jorge. 2023. “Estimates of the Norms of Some Cosine and Sine Series”. Constructive Mathematical Analysis 6 (3): 142-50. https://doi.org/10.33205/cma.1345440.
EndNote
Bustamante J (September 1, 2023) Estimates of the norms of some cosine and sine series. Constructive Mathematical Analysis 6 3 142–150.
IEEE
[1]J. Bustamante, “Estimates of the norms of some cosine and sine series”, CMA, vol. 6, no. 3, pp. 142–150, Sept. 2023, doi: 10.33205/cma.1345440.
ISNAD
Bustamante, Jorge. “Estimates of the Norms of Some Cosine and Sine Series”. Constructive Mathematical Analysis 6/3 (September 1, 2023): 142-150. https://doi.org/10.33205/cma.1345440.
JAMA
1.Bustamante J. Estimates of the norms of some cosine and sine series. CMA. 2023;6:142–150.
MLA
Bustamante, Jorge. “Estimates of the Norms of Some Cosine and Sine Series”. Constructive Mathematical Analysis, vol. 6, no. 3, Sept. 2023, pp. 142-50, doi:10.33205/cma.1345440.
Vancouver
1.Jorge Bustamante. Estimates of the norms of some cosine and sine series. CMA. 2023 Sep. 1;6(3):142-50. doi:10.33205/cma.1345440
Cited By
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Journal of Applied Analysis
https://doi.org/10.1515/jaa-2024-0083
