A Korovkin-type approximation theorem and power series method

DOI10.1007/s00025-016-0538-7zbMath1339.41035OpenAlexW2283271723MaRDI QIDQ287315

Emre Taş, İlknur Özgüç

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0538-7

zbMATH Keywords

abstract Korovkin theorempower series methods

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Approximation by positive operators (41A36)

Related Items (15)

Statistical equi-equal convergence of positive linear operators ⋮ On Some Summability Methods for a q-Analogue of an Integral Type Operator Based on Multivariate q-Lagrange Polynomials ⋮ Statistical relatively equal convergence and Korovkin-type approximation theorem ⋮ An extension of Korovkin theorem via power series method ⋮ Max-product Shepard operators based on multivariable Taylor polynomials ⋮ Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator ⋮ Approximation via power series method in two-dimensional weighted spaces ⋮ Unnamed Item ⋮ Korovkin-type approximation by operators in Riesz spaces via power series method ⋮ A Korovkin-type theorem for double sequences of positive linear operators via power series method ⋮ Korovkin type approximation theorems via power series method ⋮ Approximation of continuous periodic functions of two variables via power series methods of summability ⋮ Unnamed Item ⋮ P-summability method applied to multivariate \((p, q)\)-Lagrange polynomial operators ⋮ Approximation by statistical convergence with respect to power series methods

Cites Work

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• An abstract version of the Korovkin theorem via \(\mathcal{A}\)-summation process
• Abstract Korovkin-type theorems in modular spaces and applications
• Triangular \(A\)-statistical approximation by double sequences of positive linear operators
• Tauberian theorems for \(J_ p\)-summability
• On certain families of generalized Nörlund methods and power series methods
• Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence
• Korovkin-type Theorems and Approximation by Positive Linear Operators

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