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    STUDIA MATHEMATICA - Issue no. 4 / 2018  
         
  Article:   ON LUPAŞ-JAIN OPERATORS.

Authors:  GÜLEN BAŞCANBAZ-TUNCA, MURAT BODUR, DILEK SÖYLEMEZ.
 
       
         
  Abstract:  
In this paper, linear positive Lupaş-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained. Moreover, a preservation property of each Lupaş-Jain operator is presented.

Keywords: Lupaş operator, Jain operator, convexity, weighted uniform approximation, modulus of continuity function.
 
         
     
         
         
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