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Approximation by complex genuine hybrid operators
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DOI：10.1016/j.amc.2014.07.025.png)
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Abstract
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In the recent years several complex operators of summation-integral type have been proposed and their approximation properties have been discussed. The operators which have Baskakov or Szasz basis functions have very complicated analysis. In the present article, we propose a complex hybrid operator, the special case of which provides the genuine Baskakov Szasz operators. Here we establish an upper estimate, Voronovskaja type asymptotic formula and exact order of approximation. (C) 2014 Elsevier Inc. All rights reserved.
Keywords:
Genuine Szasz-Mirakjan operators
Complex hybrid operator
Upper bound
Voronovskaja type asymptotic formula
Exact order
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