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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 4

 
   

(p,q)-Baskakov-Kantorovich Operators

PP: 1551-1556
doi:10.18576/amis/100433
Author(s)
Vijay Gupta,
Abstract
In the last decade the applications of quantum calculus in the field of approximation theory is an active area of research. The (p,q)-calculus is further extension of q-calculus, which provides a new direction for researchers. In the present article, we propose the (p,q)-variant of the Baskakov-Kantorovich operators, using (p,q)-integrals. We estimate moments and establish direct results, using linear approximating methods viz. Steklov mean and K-functionals in terms of modulus of continuity. Also, in a weighted space, we obtain a direct estimate.

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