Smoothness Properties of Modified Bernstein-Kantorovich Operators

DOI10.1080/01630563.2015.1079219zbMath1337.41012OpenAlexW2222445264MaRDI QIDQ2805980

Mehmet Ali Özarslan, Oktay Duman

Publication date: 13 May 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1079219

zbMATH Keywords

modulus of continuitysimultaneous approximationDitzian-Totik modulus of smoothnessBernstein-Kantorovich operators

Mathematics Subject Classification ID

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

Related Items (12)

Approximation properties of \(\lambda\)-Kantorovich operators ⋮ Approximation properties of modified \((p,q)\)-Szász-Mirakyan-Kantorovich operators ⋮ On Approximation Properties of Generalized Lupas Type Operators Based on Polya Distribution with Pochhammer k-Symbol ⋮ Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution ⋮ Approximation properties of modified q-Bernstein-Kantorovich operators ⋮ Modified Kantorovich operators with better approximation properties ⋮ Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators ⋮ Posterior consistency for the spectral density of non‐Gaussian stationary time series ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ \(\alpha\)-Bernstein-Kantorovich operators ⋮ Approximation properties of modified Kantorovich type (p,q)-Bernstein operators ⋮ Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels

Cites Work

• Unnamed Item
• On a generalization of Szász-Mirakjan-Kantorovich operators
• On Bernstein-Schnabl operators on the unit interval
• On certain \(q\)-Durrmeyer type operators
• Local and global approximation theorems for positive linear operators
• Positive linear operators which preserve \(x^2\)
• Global approximation by modified Baskakov type operators
• Note on a Korovkin-type theorem
• Approximation properties of \(q\)-Baskakov operators
• Approximation by Means of Kantorovich-Stancu Type Operators
• Kantorovich Operators of Order k
• On the Decomposition of Bernstein Operators
• Complete Asymptotic Expansions for the Chlodovsky Polynomials

This page was built for publication: Smoothness Properties of Modified Bernstein-Kantorovich Operators