Geodesic
Exponential moments and simultaneous approximation properties for Durrmeyer type operators with weights of Szasz basis functions
Filomat, Tome 35 (2021) no. 5, p. 1465

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DOI

The present paper deals with the approximation properties for exponential functions of general Durrmeyer type operators having the weights of Szász basis functions. Here we give explicit expressions for exponential type moments by means of which we establish, for the derivatives of the operators, the Voronovskaja formulas for functions of exponential growth and the corresponding weighted quantitative estimates for the remainder in simultaneous approximation.
DOI : 10.2298/FIL2105465L
Classification : 41A25, 41A36, 41A60
Keywords: Durrmeyer operators, Szász operators, Voronovskaja formula, weighted approximation, remainder estimate 
Antonio-Jesús López-Moreno; Vijay Gupta. Exponential moments and simultaneous approximation properties for Durrmeyer type operators with weights of Szasz basis functions. Filomat, Tome 35 (2021) no. 5, p. 1465 . doi: 10.2298/FIL2105465L
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     author = {Antonio-Jes\'us L\'opez-Moreno and Vijay Gupta},
     title = {Exponential moments and simultaneous approximation properties for {Durrmeyer} type operators with weights of {Szasz} basis functions},
     journal = {Filomat},
     pages = {1465 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105465L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105465L/}
}
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