Invariant mean and a Korovkin-type approximation theorem

DOI10.1186/1029-242X-2013-103zbMath1281.41008WikidataQ59293435 ScholiaQ59293435MaRDI QIDQ2636705

Saleh Abdullah Al-Mezel

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

invariant meanKorovkin-type approximation theorem\(\sigma\)-convergence

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36)

Cites Work

• Unnamed Item
• Statistical summability and approximation by de la Vallée-Poussin mean
• Statistical \(\sigma \)-convergence of positive linear operators
• Equi-statistical \(\sigma \)-convergence of positive linear operators
• An application of almost convergence in approximation theorems
• Korovkin type approximation theorems obtained through generalized statistical convergence
• On the invariant mean and statistical convergence
• Statistical lacunary summability and a Korovkin type approximation theorem
• Generalized equi-statistical convergence of positive linear operators and associated approximation theorems
• Invariant means and invariant matrix methods of summability
• A contribution to the theory of divergent sequences
• ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY