Korovkin type approximation for double sequences via statistical A-summation process on modular spaces
- 9 March 2018
- journal article
- research article
- Published by Babes-Bolyai University in Studia Universitatis Babes-Bolyai Matematica
- Vol. 63 (1), 125-140
- https://doi.org/10.24193/subbmath.2018.1.08
Abstract
In this work, we introduce the Korovkin type approximation theorems on modular spaces via statistical A-summation process for double sequences of positive linear operators and we construct an example satisfying our new approximation theorem but does not satisfy the classical one.Keywords
This publication has 10 references indexed in Scilit:
- Rate of convergence in $$L_{p}$$ L p approximationPeriodica Mathematica Hungarica, 2014
- Statistical approximation by double sequences of positive linear operators on modular spacesPositivity, 2014
- Statistical $$\fancyscript{A}$$ A -summation process and Korovkin type approximation theorem on modular spacesPositivity, 2013
- Modular filter convergence theorems for abstract sampling type operatorsApplicable Analysis, 2013
- Strong summation process in spacesNonlinear Analysis, 2013
- A-summation process and Korovkin-type approximation theorem for double sequences of positive linear operatorsMathematica Slovaca, 2012
- Statistical approximation by positive linear operators on modular spacesPositivity, 2009
- Uniformly summable double sequencesStudia Scientiarum Mathematicarum Hungarica, 2007
- Statistically boundedness and statistical core of double sequencesJournal of Mathematical Analysis and Applications, 2005
- Statistical convergence of multiple sequencesArchiv der Mathematik, 2003