Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420074 | Applied Mathematics and Computation | 2015 | 6 Pages |
Abstract
Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class mentioned above a new sequence of operators. Our aim is to establish the transfer of approximation properties on this construction. The study is carried out in a weighted space and our results are materialized in obtaining both a convergence theorem of Korovkin type and an inequality for the approximation error expressed in terms of a certain weighted modulus of smoothness. Two particular cases are analyzed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Octavian Agratini,