Approximation with Certain Szász–Mirakyan Operators

Document Type : Original Article

Authors

Vijay Gupta

Neha Malik

Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India.

10.22034/kjm.2017.47347

Abstract

In the current article, we consider different growth conditions for studying the well known Szász–Mirakyan operators, which were introduced in the mid-twentieth century. Here, we obtain a new approach to find the moments using the concept of moment generating functions. Further, we discuss a uniform estimate and compare convergence behavior with the recently studied one.

Keywords

Szász–Mirakyan operators

exponential functions

moment generating functions

quantitative results

Subjects

• 41 Approximations and expansions

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