Direct estimates for certain Szasz type operators

作者：Gupta Vijay^*; Rassias Themistocles M

来源：Applied Mathematics and Computation, 2015, 251: 469-474.

DOI：10.1016/j.amc.2014.11.078

• Exponential type operators
• Pochhammer symbol
• Szasz-Mirakyan operators
• Hybrid operators
• Direct estimates
• Modulus of continuity

The present paper deals with the modified forms of the Szasz basis functions. We propose a Durrmeyer type operator having the basis functions in summation and integration due to Jain (1972) and Paltanea (2008). We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity and weighted approximation. In the end, we give an open problem for the readers.

• 出版日期2015-1-15