Rate of convergence of Hermite-Fejér polynomials for functions with derivatives of bounded variation

DOI10.1007/BF00052094zbMath0772.41009OpenAlexW1996360861MaRDI QIDQ1207389

Ranko Bojanic, Fuhua (Frank) Cheng

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052094

zbMATH Keywords

Hermite-Fejér interpolation polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (14)

Gibbs phenomenon in the Hermite interpolation on the circle ⋮ Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions ⋮ Bézier variant of the generalized Baskakov Kantorovich operators ⋮ Direct results for a certain family of summation-integral type operators ⋮ On the asymptotic constant for the rate of Hermite-Fejér convergence on Chebyshev nodes ⋮ Pointwise approximation by Bézier variant of an operator based on Laguerre polynomials ⋮ On Kantorovich Process of a Sequence of the Generalized Linear Positive Operators ⋮ Rate of convergence of generalized rational type Baskakov operators ⋮ Degree of approximation of genuine Lupaş-Durrmeyer operators ⋮ On approximation to discrete \(q\)-derivatives of functions via \(q\)-Bernstein-Schurer operators ⋮ Rate of convergence of new gamma type operators for functions with derivatives of bounded variation ⋮ Approximation and error estimation by modified Păltănea operators associating Gould-Hopper polynomials ⋮ Generalized Baskakov Kantorovich operators ⋮ Quantitative Voronovskaya type results for a sequence of Stancu type operators

Cites Work

• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• A new estimate for the approximation of functions by Hermite-Fejer interpolation polynomials
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials^*
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables
• On the convergence of Hermite-Fejér interpolation
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