Open AccessApproximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators
Author(s) -
M. Mursaleen,
Shagufta Rahman,
Khursheed J. Ansari
Publication year - 2019
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/fil1906517m
Subject(s) - mathematics , type (biology) , operator theory , baskakov operator , linear operators , function (biology) , operator norm , pure mathematics , mathematical analysis , fourier integral operator , microlocal analysis , ecology , biology , evolutionary biology , bounded function
In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.