A-Statistical Convergence of a Class of Integral operators

Authors

Octavian Agratini, Babes¸-Bolyai University, Faculty of Mathematics and Computer Science, Kog˘alniceanu 1, 400084 Cluj-Napoca, RomaniaFollow

Author Country (or Countries)

Romania

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.

Suggested Reviewers

N/A

Recommended Citation

Agratini, Octavian (2012) "A-Statistical Convergence of a Class of Integral operators," Applied Mathematics & Information Sciences: Vol. 06: Iss. 2, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss2/20