Convergence of positive linear approximation processes

DOI10.2748/tmj/1178229002zbMath0525.41019OpenAlexW2044485369MaRDI QIDQ594318

Toshihiko Nishishiraho

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229002

zbMATH Keywords

modulus of continuityKorovkin theoremapproximation processBernstein-Lototsky-Schnabl function

Mathematics Subject Classification ID

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

Related Items (19)

The convergence and saturation of iterations of positive linear operators ⋮ \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces ⋮ Approximation processes with respect to positive multiplication operators ⋮ A generalization of Stancu-Mühlbach operators ⋮ Rate of convergence in \(L_p\) approximation ⋮ Regular summability methods in the approximation by max-min operators ⋮ Matrix summability and positive linear operators ⋮ Some variations of the Bohman-Korovkin theorem ⋮ On approximation in spaces of continuous functions ⋮ Approximation of mappings with values which are upper semicontinuous functions ⋮ Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces ⋮ Summation process of positive linear operators ⋮ Statistical relative \(\mathcal{A}\)-summation process for double sequences on modular spaces ⋮ The order of approximation by positive linear operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximation results on nonlinear operators by \(P_p\)-statistical convergence ⋮ \(P\)-statistical summation process of sequences of convolution operators ⋮ $\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems

Cites Work

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