Strong summation process in locally integrable function spaces

Year 2016, Volume: 45 Issue: 3, 683 - 694, 01.06.2016

Nilay Sahin Bayram

https://izlik.org/JA77JK94BY

Abstract

In this paper, using the concept of strong summation process, we give a

Korovkin type approximation theorem for a sequence of positive linear

operators acting from $L_p,q (loc)$ into itself. We also study modulus of

continuity for $L_p,q (loc)$ approximation and give the rate of convergence

of these operators.

Keywords

A-summability , positive linear operators , locally integrable functions , Korovkin type theorem , modulus of continuity , rate of convergence

References

• . .