Geodesic
Reconstruction of Szász-Mirakyan operators preserving exponential type functions
Filomat, Tome 37 (2023) no. 2, p. 427

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DOI

In this paper, we construct a modification of Szász-Mirakyan operators with a new technique that preserved the exponential functions i.e. exp(µt) and exp(2µt), for a fixed real parameter µ > 0. We study the asymptotic behaviour and weighted approximation of these operators. Comparisons about one approximate better between the recent operators and the classical Szász-Mirakyan operators have also been presented. In the end, we compare the convergence of these operators and modified Baskakov operators to certain functions by illustrative graphics using the Mathematica algorithms.
DOI : 10.2298/FIL2302427G
Classification : 41A25, 26A15, 41A36
Keywords: Szász operators, Rate of convergence, Degree of approximation, Approximation by positive operators 
Meenu Goyal. Reconstruction of Szász-Mirakyan operators preserving exponential type functions. Filomat, Tome 37 (2023) no. 2, p. 427 . doi: 10.2298/FIL2302427G
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     author = {Meenu Goyal},
     title = {Reconstruction of {Sz\'asz-Mirakyan} operators preserving exponential type functions},
     journal = {Filomat},
     pages = {427 },
     year = {2023},
     volume = {37},
     number = {2},
     doi = {10.2298/FIL2302427G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2302427G/}
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