Statistical approximation by positive linear operators on modular spaces

DOI10.1007/s11117-009-0020-9zbMath1193.41014OpenAlexW2005358446MaRDI QIDQ987440

Oktay Duman, Sevda Karakuş, Kamil Demirci

Publication date: 13 August 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0020-9

zbMATH Keywords

statistical convergencemodular spaceKorovkin theoremregular matrixpositive linear operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

Korovkin-type theorems for abstract modular convergence ⋮ Modular filter convergence theorems for Urysohn integral operators and applications ⋮ \(K_a\)-convergence and Korovkin type approximation ⋮ Statistical relative approximation on modular spaces ⋮ Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences ⋮ Abstract Korovkin-type theorems in modular spaces and applications ⋮ A-statistical relative modular convergence of positive linear operators ⋮ Approximation by positive linear operators in modular spaces by power series method ⋮ On relative weighted summability in modular function spaces and associated approximation theorems ⋮ Korovkin theory via \(P_p\)-statistical relative modular convergence for double sequences ⋮ Korovkin-type theorems for statistically convergent sequences of monotone and sublinear operators ⋮ Unnamed Item ⋮ Abstract Korovkin type theorems on modular spaces by $\mathscr{A}$-summability ⋮ Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence ⋮ Statistical relative \(\mathcal{A}\)-summation process for double sequences on modular spaces ⋮ Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems ⋮ Abstract Korovkin theory for double sequences via power series method in modular spaces ⋮ Unnamed Item ⋮ $\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems ⋮ Statistical approximation by double sequences of positive linear operators on modular spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Korovkin-type approximation theory and its applications
• Densities and summability
• On statistical limit points and the consistency of statistical convergence
• Statistical Limit Points
• ON STATISTICAL CONVERGENCE
• Matrix Summability of Statistically Convergent Sequences
• Statistical limit superior and limit inferior
• A-STATISTICAL CORE OF A SEQUENCE
• Approximation properties in abstract modular spaces for a class of general sampling-type operators
• Sur la convergence statistique

This page was built for publication: Statistical approximation by positive linear operators on modular spaces