Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients-Reference-Cited by-同舟云学术

Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients

Published:2021-05 Issue:5-6 Volume:109 Page:808-818
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Popov A. Yu.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S0001434621050126.pdf

Reference9 articles.

1. H. K. Bari, Trigonometric series (Fizmatgiz, Moscow, 1961) [in Russian].

2. R. Salem, “Détermination de l’ordre de grandeur à l’origine de certaines séries trigonométriques,” C. R. Acad. Sci. Paris 186, 1804–1806 (1928).

3. S. A. Telyakovskiĭ, “On the behavior near the origin of the sine series with convex coefficients,” Publ. Inst. Math. (Beograd) (N. S.) 58 (72), 43–50 (1995).

4. A. Yu. Popov, “Estimates of the sums of sine series with monotone coefficients of certain classes,” Math. Notes 74 (6), 829–840 (2003).

5. A. P. Solodov, “A sharp lower bound for the sum of a sine series with convex coefficients,” Sb. Math. 207 (12), 1743–1777 (2016).

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