Smoothness and Asymptotic Properties of Functions with General Monotone Fourier Coefficients-Reference-Cited by-同舟云学术

Smoothness and Asymptotic Properties of Functions with General Monotone Fourier Coefficients

Published:2017-06-19 Issue:4 Volume:24 Page:1072-1097
ISSN:1069-5869
Container-title:Journal of Fourier Analysis and Applications
language:en
Short-container-title:J Fourier Anal Appl

Author:

Dyachenko M. I.,Tikhonov S. Yu.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Link

http://link.springer.com/article/10.1007/s00041-017-9553-7/fulltext.html

Reference30 articles.

1. Bari, N.K.: A Treatise on Trigonometric Series. Pergamon Press, New York (1965)

2. Bari, N.K., Stečkin, S.B.: Best approximations and differential properties of two conjugate functions. Trudy Mosk. Mat. Obšč. 5, 483–522 (1956)

3. Boas, R.P.: Quelques généralisations d’un théorème de S. Bernstein sur la dérivée d’un polynômetrigonométrique. C. R. Acad. Sci. Paris 227, 618–619 (1948) (in French)

4. Boas Jr., R.P.: Integrability Theorems for Trigonometric Transforms. Springer, New York (1967)

5. Butzer, P.L., Dyckhoff, H., Göerlich, E., Stens, R.L.: Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Can. J. Math. 29, 781–793 (1977)

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