Open AccessExponential moments and simultaneous approximation properties for Durrmeyer type operators with weights of Szasz basis functions
Author(s) -
A. Lopez-Moreno,
Vijay Gupta
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2105465l
Subject(s) - mathematics , exponential type , exponential function , remainder , exponential formula , exponential growth , type (biology) , basis (linear algebra) , basis function , double exponential function , mathematical analysis , arithmetic , ecology , geometry , biology
The present paper deals with the approximation properties for exponential functions of general Durrmeyer type operators having the weights of Sz?sz 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.