A-summation process in the space of locally integrable functions

Nilay Şahin Bayram, Cihan Orhan

Abstract


In this paper, using the concept of summation process, we give a
Korovkin type approximation theorem for a sequence of positive linear operators
acting from Lp;q (loc) ; the space of locally integrable functions, into itself. We also
study rate of convergence of these operators.


Keywords


Summation process, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence.

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DOI: http://dx.doi.org/10.24193/subbmath.2020.2.07

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