Abstract
In this paper we define weighted statistical relative uniform convergence by using weighted density and give a Korovkin-type approximation theorem. Then, we construct an example such that our new approximation result works but its weighted statistical and statistical (and classical) cases do not work. We also compute the rates of weighted statistical relative uniform convergence of sequences of positive linear operators.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Demirci, K., Orhan, S., Kolay, B. (2018). Weighted Statistical Relative Approximation by Positive Linear Operators. In: André, C., Bastos, M., Karlovich, A., Silbermann, B., Zaballa, I. (eds) Operator Theory, Operator Algebras, and Matrix Theory. Operator Theory: Advances and Applications, vol 267. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-72449-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-72449-2_6
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-72448-5
Online ISBN: 978-3-319-72449-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)