A Baskakov type generalization of statistical Korovkin theory

DOI10.1016/j.jmaa.2007.08.040zbMath1133.41004OpenAlexW2043942415MaRDI QIDQ2467783

Oktay Duman, George A. Anastassiou

Publication date: 28 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.040

zbMATH Keywords

statistical convergenceKorovkin theorempositive linear operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (21)

Statistically relatively uniform convergence of positive linear operators ⋮ Unnamed Item ⋮ A summability process on Baskakov-type approximation ⋮ Statistical \(\sigma \)-convergence of positive linear operators ⋮ Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions ⋮ Equi-statistical \(\sigma \)-convergence of positive linear operators ⋮ Convergence analysis of modified Szász operators associated with Hermite polynomials ⋮ Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials ⋮ Ideal convergence of \(k\)-positive linear operators ⋮ A Voronovskaya-type formula for SMK operators via statistical convergence ⋮ Statistical Korovkin Theory for Multivariate Stochastic Processes ⋮ Approximations by linear operators in spaces of fuzzy continuous functions ⋮ Statistical convergence of double-complex Picard integral operators ⋮ Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators ⋮ Four-dimensional matrix transformation and the rate of \(A\)-statistical convergence of continuous functions ⋮ Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces ⋮ Korovkin type approximation theorems inb-statistical sense ⋮ Approximation in statistical sense to n-variate B-continuous functions by positive linear operators ⋮ Statistical Approximation for Stochastic Processes ⋮ Unnamed Item ⋮ Statistical approximation to Bögel-type continuous and periodic functions

Cites Work

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• Some approximation theorems via statistical convergence.
• Densities and summability
• A Korovkin type approximation theorem in statistical sense
• ON STATISTICAL CONVERGENCE
• Matrix Summability of Statistically Convergent Sequences
• Statistical approximation by positive linear operators
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Sur la convergence statistique

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