Direct estimates for certain Szász type operators

作者：

Highlights：

• We deal with the modified forms of the Szász basis functions.

• We introduce a new sequence of linear positive operators of Durrmeyer type.

• Direct estimates for the new sequence have been discussed.

• An open problem is also proposed.

摘要

•We deal with the modified forms of the Szász basis functions.•We introduce a new sequence of linear positive operators of Durrmeyer type.•Direct estimates for the new sequence have been discussed.•An open problem is also proposed.

论文关键词：Exponential type operators,Pochhammer symbol,Szász–Mirakyan operators,Hybrid operators,Direct estimates,Modulus of continuity

论文评审过程：Available online 12 December 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.11.078