Open AccessApproximation by General Family of Summation Baskakov-Type Operators Preserving the Exponential Functions
Author(s) -
Sara Adel Hussein
Publication year - 2021
Publication title -
basrah journal of science
Language(s) - English
Resource type - Journals
eISSN - 2664-8296
pISSN - 2664-8288
DOI - 10.29072/basjs.2021301
Subject(s) - mathematics , type (biology) , sequence (biology) , modulus of continuity , exponential type , exponential function , baskakov operator , convergence (economics) , mathematical analysis , function (biology) , pure mathematics , operator theory , fourier integral operator , ecology , genetics , evolutionary biology , economic growth , microlocal analysis , economics , biology
The present paper is defining and studding a modification of the general family sequence of summation Baskakov-type operators. This modification is preserved that the functions and where is fixed. We show that the uniform convergence theorem of this sequence by using the modulus of continuity to the function being approximated. Finally, we introduce the asymptotic formula for the Voronovskaya-type theorem