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    STUDIA MATHEMATICA - Issue no. 2 / 2020  
         
  Article:   A-SUMMATION PROCESS IN THE SPACE OF LOCALLY INTEGRABLE FUNCTIONS.

Authors:  NILAY ŞAHIN BAYRAM, CIHAN ORHAN.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.2.07

Published Online: 2020-06-05
Published Print: 2020-06-30
pp. 255-268
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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.

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