On the growth rate of arbitrary sequences of double rectangular Fourier sums |
| |
| Authors: | N Yu Antonov |
| |
| Institution: | 1.Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Yekaterinburg,Russia |
| |
| Abstract: | The theorem is proved that an arbitrary sequence \(\left\{ {S_{m_{k,} n_k } \left( {f,x,y} \right)} \right\}_{k = 1}^\infty\) of double rectangular Fourier sums of any function from the class L(ln+ L)2(0, 2π)2) satisfies the relation \(S_{m_k ,n_k } \left( {f,x,y} \right) = o\left( {\ln k} \right)\) almost everywhere. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
