Geodesic
Asymptotics of multiple trigonometric series with monotone coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 14-22 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper describes a general method of determination of the asymptotic behavior near zero of multiple trigonometric series whose coefficients possess certain monotonicity conditions. 
@article{VMUMM_2015_6_a2,
     author = {A. Zh. Ydyrys},
     title = {Asymptotics of multiple trigonometric series with monotone coefficients},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--22},
     year = {2015},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a2/}
}
TY  - JOUR
AU  - A. Zh. Ydyrys
TI  - Asymptotics of multiple trigonometric series with monotone coefficients
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2015
SP  - 14
EP  - 22
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a2/
LA  - ru
ID  - VMUMM_2015_6_a2
ER  - 
%0 Journal Article
%A A. Zh. Ydyrys
%T Asymptotics of multiple trigonometric series with monotone coefficients
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2015
%P 14-22
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a2/
%G ru
%F VMUMM_2015_6_a2
A. Zh. Ydyrys. Asymptotics of multiple trigonometric series with monotone coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 14-22. http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a2/

[1] Young W.H., “On the mode of oscillation of a Fourier series and of its allied series”, Proc. London Math. Soc., 12 (1913), 433–452 | DOI | MR | Zbl

[2] Salem R., “Determination de l'ordre de grandeur a l'origine de certains series trigonometriques”, C. r. Acad. sci. Paris, 186 (1928), 1804–1806 | Zbl

[3] Hartman Ph., Wintner A., “On sine series with monotone coefficients”, J. London Math. Soc., 28 (1963), 102–104 | MR

[4] Shogunbekov Sh.Sh., “Nekotorye otsenki dlya sinus-ryada s vypuklymi koeffitsientami”, Primenenie funktsionalnogo analiza v teorii priblizhenii, Tver, 1993, 67-72

[5] Telyakovskii S.A., “On the behavior near the origin of the sine series with convex coefficients”, Publ. Inst. Math. Nouvelle Ser., 58 (1995), 43–50 | MR | Zbl

[6] Popov A.Yu., “Otsenki summ ryadov po sinusam s monotonnymi koeffitsientami nekotorykh klassov”, Matem. zametki, 74:6 (2003), 877–888 | DOI | Zbl

[7] Krasniqi X.Z., “On the behavior near the origin of double sine series with monotone coefficients”, Mathematica Bohemica, 134:3 (2009), 255–273 | MR | Zbl