ON SOME CLASSES OF BERNSTEIN TYPE OPERATORS WHICH PRESERVE THE GLOBAL SMOOTHNESS IN THE CASE OF UNIVARIATE FUNCTIONS by Voichita Cleciu

@inproceedings{Iulia2007ONSC,
  title={ON SOME CLASSES OF BERNSTEIN TYPE OPERATORS WHICH PRESERVE THE GLOBAL SMOOTHNESS IN THE CASE OF UNIVARIATE FUNCTIONS by Voichita Cleciu},
  author={Alba Iulia},
  year={2007}
}
  • Alba Iulia
  • Published 2007
The aim of this paper is to describe the linear and positive operators who have the property of preservation of the global smoothness. We insist on the Bernstein and Stancu operators. We consider the case of univariate function. In order to show the preservation of global smoothness, we use the notions of modulus of continuity and Kfunctionals.