Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2021_109_5_a8, author = {A. Yu. Popov}, title = {Refinement of {Estimates} of {Sums} of {Sine} {Series} with {Monotone} {Coefficients} and {Cosine} {Series} with {Convex} {Coefficients}}, journal = {Matemati\v{c}eskie zametki}, pages = {768--780}, publisher = {mathdoc}, volume = {109}, number = {5}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a8/} }
TY - JOUR AU - A. Yu. Popov TI - Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients JO - Matematičeskie zametki PY - 2021 SP - 768 EP - 780 VL - 109 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a8/ LA - ru ID - MZM_2021_109_5_a8 ER -
%0 Journal Article %A A. Yu. Popov %T Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients %J Matematičeskie zametki %D 2021 %P 768-780 %V 109 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a8/ %G ru %F MZM_2021_109_5_a8
A. Yu. Popov. Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients. Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 768-780. http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a8/
[1] H. K. Bari, Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR
[2] R. Salem, “Détermination de l'ordre de grandeur á l'origine de certaines séries trigonométriques”, C. R. Acad. Sci. Paris, 186 (1928), 1804–1806 | Zbl
[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) (1995), 43–50 | MR | Zbl
[4] A. Yu. Popov, “Otsenki summ ryadov po sinusam s monotonnymi koeffitsientami nekotorykh klassov”, Matem. zametki, 74:6 (2003), 877–888 | DOI | MR | Zbl
[5] A. P. Solodov, “Tochnaya otsenka snizu summy ryada po sinusam s vypuklymi koeffitsientami”, Matem. sb., 207:12 (2016), 124–158 | DOI | MR | Zbl
[6] A. P. Solodov, “Tochnye konstanty v dvustoronnei otsenke S. A. Telyakovskogo summy ryada po sinusam s vypukloi posledovatelnostyu koeffitsientov”, Matem. zametki, 107:6 (2020), 906–921 | DOI | Zbl
[7] A. Yu. Popov, A. P. Solodov, “Otsenki s tochnymi konstantami summ nekotorykh klassov ryadov po sinusam s monotonnymi koeffitsientami cherez mazhorantu Salema”, Matem. zametki, 104:5 (2018), 725–736 | DOI | Zbl
[8] P. Hartman, A. Wintner, “On sine series with monotone coefficients”, J. London Math. Soc., 28:1 (1953), 102–104 | DOI | MR | Zbl
[9] A. Yu. Popov, “Otsenki naimenshego polozhitelnogo kornya summy ryada po sinusam s monotonnymi koeffitsientami”, Matem. zametki, 96:5 (2014), 747–761 | DOI | MR | Zbl