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A q-Erkus- Srivastava Polynomials Operator
  • P.N. Agrawal,
  • Behar Baxhaku,
  • JITENDRA SINGH
P.N. Agrawal
Indian Institute of Technology Roorkee

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Behar Baxhaku
University of Prishtina
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JITENDRA SINGH
Indian Institute of Technology Roorkee
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Abstract

We construct a sequence of linear positive operators by means of the Erkus- Srivastava multivariable polynomials which include q- Lagrange polynomial operators discussed in [5] and the Lagrange Hermite polynomial operators considered in [1]. We study the Korovkin type theorems for the constructed operators by using summability techniques of statistical convergence and the power series method. We also define a k-th order Taylor generalization of the multivariable polynomials operator and investigate the approximation of k-th times continuously differentiable Lipschitz class elements.
26 Jul 2022Submitted to Mathematical Methods in the Applied Sciences
27 Jul 2022Submission Checks Completed
27 Jul 2022Assigned to Editor
10 Aug 2022Reviewer(s) Assigned
20 Jan 2023Review(s) Completed, Editorial Evaluation Pending
24 Jan 2024Editorial Decision: Accept