Statistical \(e\)-convergence of double sequences and its application to Korovkin-type approximation theorem for functions of two variables

DOI10.1007/s40995-016-0018-7zbMath1391.41017OpenAlexW2438376456MaRDI QIDQ724826

Yurdal Sever, Özer Talo

Publication date: 26 July 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-016-0018-7

zbMATH Keywords

positive linear operatordouble sequence spaceKorovkin-type approximation theorem\(e\)-convergencestatistical \(e\)-convergence

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Ideal and statistical convergence (40A35)

Related Items (3)

Unnamed Item ⋮ Korovkin type approximation via statistical \(e\)-convergence on two dimensional weighted spaces ⋮ Statistical e-Convergence of Bögel-Type Continuous Functions

Cites Work

• Weighted statistical convergence and its application to Korovkin type approximation theorem
• \(e\)-core of double sequences
• An application of almost convergence in approximation theorems
• On conservative matrix methods for double sequence spaces
• Tauberian theorems for statistically convergent double sequences
• Statistical boundedness and statistical core of double sequences
• Some approximation theorems via statistical convergence.
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Korovkin-type approximation theorem for double sequences of positive linear operators via statistical \(A\)-summability
• Generalized weighted statistical convergence and application
• Statistical approximation by double sequences of positive linear operators on modular spaces
• Approximation for periodic functions via weighted statistical convergence
• Matrix summability and positive linear operators
• Convergence Methods for Double Sequences and Applications
• A Method for Obtaining Polynomials of Bernstein type of two Variables
• Sur la convergence statistique
• Consistency theory for SM-methods
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