Premium
Approximation by Durrmeyer type Jakimoski–Leviatan operators
Author(s) -
Karaisa Ali
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3650
Subject(s) - mathematics , type (biology) , convergence (economics) , baskakov operator , operator theory , spectral theorem , space (punctuation) , rate of convergence , approximation property , pure mathematics , fourier integral operator , microlocal analysis , banach space , key (lock) , ecology , biology , linguistics , philosophy , economics , economic growth
In this study, we introduce the Durrmeyer type Jakimoski–Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties. Furthermore, we give a Voronovskaja type theorem for the our new operators. Copyright © 2015 John Wiley & Sons, Ltd.