English

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

Functional Analysis 2021-11-12 v1

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.

Keywords

Cite

@article{arxiv.2111.06234,
  title  = {Characterization of deferred type statistical convergence and P-summability method for operators: Applications to q-Lagrange-Hermite operator},
  author = {Purshottam Narain Agrawal and Rahul Shukla and Behar Baxhaku},
  journal= {arXiv preprint arXiv:2111.06234},
  year   = {2021}
}
R2 v1 2026-06-24T07:35:06.517Z