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NOTE ON A q-ANALOGUE OF STANCU-KANTOROVICH OPERATORS.

Authors :
ACU, ANA MARIA
BĂRBOSU, DAN
SOFONEA, DANIEL FLORIN
Source :
Miskolc Mathematical Notes. Sep2015, Vol. 16 Issue 1, p3-15. 13p.
Publication Year :
2015

Abstract

The goal of this paper is to introduce new q-Stancu-Kantorovich operators and to study some of their approximation properties. A convergence theorem using the well known Bohman- Korovkin criterion is proven and the rate of convergence involving the modulus of continuity is established. Furthermore, a Voronovskaja type theorem is also proven. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17872405
Volume :
16
Issue :
1
Database :
Academic Search Index
Journal :
Miskolc Mathematical Notes
Publication Type :
Academic Journal
Accession number :
109298337
Full Text :
https://doi.org/10.18514/MMN.2015.1221