Abstract
The present paper deals with a generalization of the Baskakov type operators, which preserve an exponential function and approximate functions with arbitrary order. We give some direct results including error estimation and quantitative asymptotic formula. It is observed that the rate of approximation can be made smaller by arbitrarily chosen sequences.
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The authors are thankful to the reviewers for helpful suggestions which lead to improvement of the manuscript.
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Communicated by Rosihan M. Ali.
Dedicated to Prof. Ioan Gavrea and Prof. Mircea Ivan on the occasion of their 70-th birthday.
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Gupta, V., Holhoş, A. Approximation with Arbitrary Order by Baskakov-Type Operators Preserving Exponential Functions. Bull. Malays. Math. Sci. Soc. 44, 2567–2576 (2021). https://doi.org/10.1007/s40840-020-01063-x
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DOI: https://doi.org/10.1007/s40840-020-01063-x
Keywords
- Exponential function
- Positive linear operators
- Baskakov type operators
- Modulus of continuity
- Voronovskaya type results