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Theorems 1 and 2 will be proved in Section 3.

Theorem 2 will be proved in Section 3.

The results presented here will be proved in Section 2.

Finally, Theorem 2.1 will be proved in Section 4.

This fact will be proved in Section 5.

The main results will be proved in Section 4.

The main results will be proved in Sections 3, 4, 5, respectively.

Theorems 2.1 and 2.2 will be proved in Sections 3.1 and 3.2, respectively.

Some preliminaries will be given in Section 2. Theorems 1.1 1.4 will be proved in Sections 3 5, respectively.

Next, we state the central approximation theorem for (S_{n,alpha}(f,x)) in the spaces (L_{p}[0,1]) ((1leq p leqinfty)), which will be proved in Sections 2 and 3.

In addition, our algorithm is more favorable than that of [19] becaue of rapid convergence (to be proven in Section 5).