Strong summation process in locally integrable function spaces

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

Nilay Sahin Bayram

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

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