Korovkin theorems on weighted spaces: revisited

DOI10.1007/s10998-017-0187-yzbMath1399.41039OpenAlexW2616016905MaRDI QIDQ1705838

Oktay Duman, Mehmet Ünver, Özlem Girgin Atlıhan

Publication date: 16 March 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0187-y

zbMATH Keywords

statistical convergenceweighted approximationAbel summabilityKorovkin theoremsummation process

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Related Items (18)

Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials ⋮ Some properties of Kantorovich variant of Szász operators induced by multiple Sheffer polynomials ⋮ On S(λ,A)-convergence and strong (V,λ,A)-convergence of order α ⋮ On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense ⋮ Some properties of modified Szász-Mirakyan operators in polynomial spaces via the power summability method ⋮ Approximation via statistical $K_{a}^{2}$-convergence on two-dimensional weighted spaces ⋮ Some Korovkin type approximation applications of power series methods ⋮ A new approach to the approximation by positive linear operators in weighted spaces ⋮ Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method ⋮ On the concept of \(A\)-statistical uniform integrability and the law of large numbers ⋮ Approximation via power series method in two-dimensional weighted spaces ⋮ Korovkin type theorem for Bernstein-Kantorovich operators via power summability method ⋮ Relatively uniform weighted summability based on fractional-order difference operator ⋮ Some properties of Baskakov-Schurer-Szász operators via power summability methods ⋮ Approximation by modified Meyer-König and Zeller operators via power series summability method ⋮ Convergence of \(\lambda\)-Bernstein operators via power series summability method ⋮ Korovkin type approximation via statistical \(e\)-convergence on two dimensional weighted spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Rates of \(A\)-statistical convergence of positive linear operators
• Summation process of positive linear operators
• Korovkin-type approximation theory and its applications
• Densities and summability
• Abel transforms of positive linear operators on weighted spaces
• Matrix summability and positive linear operators
• ON STATISTICAL CONVERGENCE
• Statistical limit superior and limit inferior
• Statistical approximation by positive linear operators
• Order Summability and Almost Convergence

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