|
|
 |
| |
|
|
|
A-Statistical Convergence of a Class of Integral operators |
|
|
|
PP: 325-328 |
|
|
|
Author(s) |
|
|
|
Octavian Agratini,
|
|
|
|
Abstract |
|
|
| Starting from a general sequence of linear and positive operators of summation integral type, we associate its r-th order
generalization. This construction involves high order derivatives of a signal and it looses the positivity property. Considering that the
initial approximation process is A-statistically pointwise convergent, we prove that the property is inherited by the new sequence. The
study is developed for smooth functions defined both on an unbounded interval and on a compact interval. |
|
|
|
|
|
|
|
