For linear combinations of Szdsz-type Operators, Li Bingzheng gave the pointwise estimates. Qi Qiulan extended these results using the modulus of Smoothness In this paper we discuss the simultaneous approximation for the r-order linear combinations of Szdsz-type Operators with the modulus of smoothness and unite the corresponding results of classical and the Ditzian-Totik moduli of smoothness.
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