On pointwise estimate for Gamma operators

For linear combinations of Gamma operators, if 0 \frac12r \leqslant l\leqslant 1\frac{1}{2} - \frac{1}{{2r}} \leqslant \lambda \leqslant 1 , or 0 \leqslant l < \frac12 - \frac12r(r \geqslant 2)0 \leqslant \lambda< \frac{1}{2} - \frac{1}{{2r}}(r \geqslant 2) , 0 < a < \fracr + 11 - l0< a< \frac{{r + 1}}{{1 - \lambda }} , we obtain an equivalent theorem with      

Pointwise weighted approximation by Bernstein operators

We consider the pointwise weighted approximation by Bernstein operators. The related weight functions are Jacobi weights . We obtain approximation equivalence theorems, using a weighted modulus of smoothness , which is an extension of~[5].     

First time observation of sodium layer over Wuhan, China by sodium fluorescence lidar

The structure of the WIP sodium fluorescence lidar and the preliminary observation result for the sodium layer are reported. Project supported by the Chinese Academy of Sciences.     

On approximation of classes of functions for modified Szasz operators

In this note, using some results of the probability theory we obtained some estimates of the approximation of classes of functions for modified Szasz operators with regard to two special classes of functions.     

On saturation for a spline approximation

We obtain a saturation theorem for a wavelet operator which is constructed by B-spline function.