Moments of Linear Positive Operators and Approximation by Vijay Gupta & Michael Th. Rassias

Author:Vijay Gupta & Michael Th. Rassias
Language: eng
Format: epub
ISBN: 9783030194550
Publisher: Springer International Publishing

3.1 Certain Baskakov-Szász-Mirakyan Operators

Baskakov-Szász-Mirakyan operators introduced in [12] are defined as follows:

(3.1.1)

where

and

Some approximation properties of these operators and their different versions have been discussed in [54, 60]. Using the technique proposed in [7, 62, 79], very recently Gupta and Acu [59] modified the operators defined in (3.1.1) as follows:

(3.1.2)

In the case when , we derive the operators due to Agrawal and Mohammad [12]. Suppose that operators (3.1.2) reproduce and . After simple computation, we obtain

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