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Nonlinear Bernstein-type operators providing a better error estimation
- Source :
- Scopus-Elsevier
- Publication Year :
- 2014
- Publisher :
- Mathematical Notes, 2014.
-
Abstract
- In this paper, when approximating a continuos non-negative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes of functions, they provide better error estimations than the Bernstein polynomials. Furthermore, we obtain a simultaneous approximation result for these operators.
- Subjects :
- Estimation
Numerical Analysis
Control and Optimization
Algebra and Number Theory
Bernstein polynomials
Type (model theory)
Bernstein polynomial
Nonlinear system
simultaneous approximation
nonlinear operators
Discrete Mathematics and Combinatorics
Applied mathematics
Analysis
Nonlinear operators
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....b33c37fa0a184066d287d53b3674a9c9