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Blending type Approximations by Kantorovich variant of α-Schurer operators
  • Nadeem Rao,
  • Pradeep Malik,
  • Mamta Rani
Nadeem Rao
Shree Guru Gobind Singh Tricentenary University Faculty of Medicine and Health Sciences
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Pradeep Malik
Shree Guru Gobind Singh Tricentenary University
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Mamta Rani
Shree Guru Gobind Singh Tricentenary University
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Abstract

In the present manuscript, we present a new sequence of operators, i:e:, -Bernstein-Schurer-Kantorovich operators depending on two parameters 2 [0; 1] and > 0 foe one and two variables to approximate measurable functions on [0:1+q]; q > 0. Next, we give basic results and discuss the rapidity of convergence and order of approximation for univariate and bivariate of these sequences in their respective sections . Further, Graphical and numerical analysis are presented. Moreover, local and global approximation properties are discussed in terms of rst and second order modulus of smoothness, Peetre’s K-functional and weight functions for these sequences in dierent spaces of functions.

Peer review status:UNDER REVIEW

17 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
24 Jun 2021Assigned to Editor
24 Jun 2021Submission Checks Completed
02 Jul 2021Reviewer(s) Assigned