Characterization of deferred type statistical convergence and P-summability method for operators: Applications to q-Lagrange-Hermite operator

2021/11/02 by P. Ν. Agrawal, Agrawal, Purshottam Narain, Rahul Shukla +3 · 3 citations
Mathematics · #26A15 #33C45 #41A25 #41A36 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2111.06234

openalex publication_date 2021/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present work considers two important convergence techniques, namely deferred type statistical convergence and P-summability method in respect of positive linear operators. With regard to these techniques, we state and prove two general non-trivial Korovkin type approximation results for such operators. Further, we define an operator based on multivariate q-Lagrange-Hermite polynomials and exhibit the applicability of our general theorems.

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