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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 2

 
   

Approximation of Functions by Lupas-Kantorovich- Stancu Type Operators based on Polya Distribution

PP: 259-268
doi:10.18576/amis/160213
Author(s)
Lakshmi Narayan Mishra, Alok Kumar, Vishnu Narayan Mishra,
Abstract
In this paper, we introduce a two parameter generalization of Lupas-Kantorovich operators based on Polya distribution. We obtain the moments of the operators by deriving a recurrence relation and then prove and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function.

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