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Pointwise convergence of the Bernstein–Durrmeyer operators with respect to a collection of measures
- Source :
- Journal of Approximation Theory. 251:105339
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- In this paper we consider a generalization of the Bernstein-Durrmeyer operator where the integrals are taken with respect to measures that may vary from term to term. This construction is more general than the one considered by the first named author and her coauthors earlier, and it includes a number of well-known operators of Bernstein type as particular cases. We give conditions on the collections of measures that guarantee pointwise convergence at a point of continuity of a function.
- Subjects :
- Pointwise convergence
Numerical Analysis
Generalization
Applied Mathematics
General Mathematics
010102 general mathematics
010103 numerical & computational mathematics
Function (mathematics)
Type (model theory)
01 natural sciences
Term (time)
Operator (computer programming)
Applied mathematics
Point (geometry)
0101 mathematics
Analysis
Mathematics
Subjects
Details
- ISSN :
- 00219045
- Volume :
- 251
- Database :
- OpenAIRE
- Journal :
- Journal of Approximation Theory
- Accession number :
- edsair.doi...........a0660c5fe9ac6ad9b67e50e438a861e5