Unknown

Dataset Information

0

Application of f-lacunary statistical convergence to approximation theorems.


ABSTRACT: The concept of f-lacunary statistical convergence which is, in fact, a generalization of lacunary statistical convergence, has been introduced recently by Bhardwaj and Dhawan (Abstr. Appl. Anal. 2016:9365037, 2016). The main object of this paper is to prove Korovkin type approximation theorems using the notion of f-lacunary statistical convergence. A relationship between the newly established Korovkin type approximation theorems via f-lacunary statistical convergence, the classical Korovkin theorems and their lacunary statistical analogs has been studied. A new concept of f-lacunary statistical convergence of degree β (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$0 < \beta< 1$\end{document}0<β<1) has also been introduced, and as an application a corresponding Korovkin type theorem is established.

SUBMITTER: Bhardwaj VK 

PROVIDER: S-EPMC6208621 | biostudies-other | 2018

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC3094129 | biostudies-other
| S-EPMC6348690 | biostudies-literature
| S-EPMC6208615 | biostudies-other
| S-EPMC4972458 | biostudies-literature
| S-EPMC3790801 | biostudies-literature
| S-EPMC4276088 | biostudies-literature
| S-EPMC4990825 | biostudies-other
| S-EPMC5547198 | biostudies-other
2009-07-10 | GSE17041 | GEO
| S-EPMC5405725 | biostudies-literature