Asymptotic Formulas for Generalized Szasz-Mirakyan Operators

作者：Acar Tuncer^*

来源：Applied Mathematics and Computation, 2015, 263: 233-239.

DOI：10.1016/j.amc.2015.04.060

• Szasz-Mirakyan operators
• Quantitative Voronovskaya theorem
• Gruss-Voronovskaya-type theorem
• Weighted modulus of continuity

In the present paper, we consider the general Szasz-Mirakyan operators and investigate their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems using the weighted modulus of continuity. The particular cases are presented for classical Szasz-Mirakyan operators.

• 出版日期2015-7-15