International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas

  • Karunesh Kumar Singh
  • Asha Ram Gairola
  • Deepmala .1*
  1. Indian Statistical Institute, Kolkata, India

* Corresponding author

Abstract

The purpose of the present paper is to introduce $q-$ analouge of a sequence of linear and positive operators which was introduced by A. Lupas [2]. First, we estimate moments of the operators and then prove a basic convergence theorem. Next, a local direct approximation theorem is established. Further, we study the rate of convergence and point-wise estimate using the Lipschitz type maximal function.

How to Cite

K. K. Singh, A. R. Gairola, D. ., Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas, Int. J. Anal. Appl. 12 (2016), 30–37.

BibTeX
@article{Singh2016,
  author  = {Singh, Karunesh Kumar and Gairola, Asha Ram and ., Deepmala},
  title   = {Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas},
  journal = {Int. J. Anal. Appl.},
  volume  = {12},
  year    = {2016},
  pages   = {30--37},
  doi     = {}
}

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