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On Sequences of J. P. King-Type Operators.
- Source :
-
Journal of Function Spaces . 5/16/2019, p1-12. 12p. - Publication Year :
- 2019
-
Abstract
- This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P. King who defined them, and they have been a source of inspiration for many scholars. In this paper we try to take stock of the situation and highlight the state of the art, hoping that this will be a useful tool for all people who intend to extend King's approach to some new contents within Approximation Theory. In particular, we recall the main results concerning certain King-type modifications of two well known sequences of positive linear operators, the Bernstein operators and the Szász-Mirakyan operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *APPROXIMATION theory
*AMBER
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 136476262
- Full Text :
- https://doi.org/10.1155/2019/2329060