Estimates of the norms of some cosine and sine series
Abstract
Keywords
References
- N. K. Bari: Trigonometric Series, Moscow (in Russian, 1961).
- R. G. Bartle: The Elements of Integration, John Wiley and Sons, Inc., New York-London-Sydney (1966).
- A. S. Belov: On the unimprovability of some theorems on the convergence in the mean of trigonometric series, J. Math. Sci. (N.Y.), 250(3) (2020), 404–418.
- 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.
- P. L. Butzer, R. J. Nessel: Fourier Analysis and Approximation, New York-Basel (1971).
- P. L. Butzer, U.Westphal: An access to fractional differentiation via fractional difference quotients, Fractional Calculus and Its Applications, Lecture Notes in Mathematics, 457 (1975), 116–145.
- 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.
- J.W. Garrett, Cˇ . V. Stanojevic´: On $\mathbb{L}^1$ convergence of certain cosine sums, Proc. Amer.Math. Soc., 54 (1976), 101–105.
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
Cited By
On the convergence of Legendre series with coefficients of bounded variation
Journal of Applied Analysis
https://doi.org/10.1515/jaa-2024-0083
