Geodesic
Convergence rate estimates for “spherical” partial sums of double Fourier series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1233-1240 Cet article a éte moissonné depuis la source Math-Net.Ru

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The convergence of Fourier double series of $2\pi$-periodic functions from the space $\mathbb{L}_2$ is analyzed. The convergence rate of spherical partial sums of a double Fourier series is estimated for some classes of functions characterized by a generalized modulus of continuity. 
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     title = {Convergence rate estimates for {\textquotedblleft}spherical{\textquotedblright} partial sums of double {Fourier} series},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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V. A. Abilov; M. V. Abilov; M. K. Kerimov. Convergence rate estimates for “spherical” partial sums of double Fourier series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1233-1240. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a1/

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