Approximation properties of a certain nonlinear Durrmeyer operators

DOI10.2298/FIL1705367KzbMath1488.41036OpenAlexW2467280435MaRDI QIDQ5011927

Publication date: 30 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1705367k

zbMATH Keywords

bounded variation pointwise convergence nonlinear Durrmeyer operators \(L-\psi\) Lipschitz condition

Mathematics Subject Classification ID

Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

Rate of convergence of nonlinear integral operators for functions of bounded variation
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Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
On the rate of convergence of Fourier-Legendre series of functions of bounded variation
Rate of approximation for functions of bounded variation by integral operators
Rate of convergence for certain families of summation-integral type operators
On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation
On convergence of certain nonlinear Durrmeyer operators at Lebesgue points
Some approximation properties of a certain nonlinear Bernstein operators
On the rates of convergence of Bernstein–Chlodovsky polynomials and their Bézier-type variants
Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems
On pointwise convergence of linear integral operators with homogeneous kernels
Approximation theorems for q-Bernstein-Kantorovich operators
Approximation by complex Szász-Mirakyan-Stancu-Durrmeyer operators in compact disks under exponential growth
Some convergence results for nonlinear singular integral operators
Convergence and rate of convergence by nonlinear singular integral operators depending on two parameters
Convergence Estimates in Approximation Theory
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