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    STUDIA MATHEMATICA - Issue no. 2 / 2023  
         
  Article:   STATISTICAL KOROVKIN-TYPE THEOREM FOR MONOTONE AND SUBLINEAR OPERATORS.

Authors:  IONUȚ T. IANCU.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.2.14

Received 18 April 2022; Accepted 05 February 2023.. Published Online: 2023-06-14
Published Print: 2023-07-30
pp. 399-408

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In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.

Mathematics Subject Classification (2010): 41A35, 41A36, 41A63.
Keywords: Korovkin-type theorems, monotone and sublinear operator, nonlinear Choquet integral, statistical convergence.
 
         
     
         
         
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