Open AccessA sequence of positive linear operators related to powered Baskakov basis
Author(s) -
Adrian Holhoş
Publication year - 2019
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2019.01.06
Subject(s) - baskakov operator , mathematics , basis (linear algebra) , sequence (biology) , linear operators , linear relationship , mathematical analysis , statistics , operator theory , geometry , chemistry , microlocal analysis , fourier integral operator , biochemistry , bounded function
In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the powered Baskakov basis. We prove that in the particular case of squared Baskakov basis the operators behave better than the classical Baskakov operators. For this particular case we give also a quantitative Voronovskaya type result.