On the behavior near the origin of double sine series with monotone coefficients

Title:

On the behavior near the origin of double sine series with monotone coefficients

Creator:

Krasniqi, Xhevat Z.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4462474e-c83d-42ed-b947-d6ce059ef6a6
uuid:4462474e-c83d-42ed-b947-d6ce059ef6a6
doi:10.21136/MB.2009.140660

Subject:

double sine series and sum of a double sine series with monotone coefficients

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we obtain estimates of the sum of double sine series near the origin, with monotone coefficients tending to zero. In particular (if the coefficients ak,l satisfy certain conditions) the following order equality is proved g(x,y) ∼ mnam,n + m⁄ n ∑ n−1 l=1 lam,l + n⁄ m ∑mX−1 k=1 kak,n + 1 m ⁄n ∑ n−1 l=1 ∑ m−1 k=1 klak,l, where x ∈ ( π⁄ m+1 , π ⁄ m ], y ∈ ( π ⁄ n+1 , π ⁄ n ], m, n = 1, 2, . . ..

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

255-273

Source:

Mathematica bohemica | 2009 Volume:134 | Number:3

Harvested from:

CDK

Metadata only:

false