Approximation polynomiale des fonctions et analytiques
Approximation Power of Smooth Bivariate PP Functions.
Approximation properties for modified -Bernstein-Durrmeyer operators
We introduce modified -Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators and compute the rate of convergence for the function belonging to the class .
Approximation properties of a generalization of Bleimann, Butzer and Hahn operators.
Approximation properties of a Stancu -variate operator of beta type.
Approximation properties of certain linear positive operators in exponential weighted spaces of functions of two variables
Approximation properties of q-Baskakov operators
We establish direct estimates for the q-Baskakov operator introduced by Aral and Gupta in [2], using the second order Ditzian-Totik modulus of smoothness. Furthermore, we define and study the limit q-Baskakov operator.
Approximation to continuous functions in the Hölder metric
Approximationsgüte der Ableitungen bei trigonometrischer Interpolation.
Asymptotic behaviour of differentiated Bernstein polynomials
Asymptotic distribution of poles and zeros of best rational approximants to on [0,1]
Let be the best rational approximant to , 1 > α > 0, on [0,1] in the uniform norm. It is well known that all poles and zeros of lie on the negative axis . In the present paper we investigate the asymptotic distribution of these poles and zeros as n → ∞. In addition we determine the asymptotic distribution of the extreme points of the error function on [0,1], and survey related convergence results.
Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves
We show that in the class of compact, piecewise curves K in , the semialgebraic curves are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for the derivatives of (the traces of) polynomials on K.
Bernstein's comparison theorem and a problem of Braess.
Bernstein's comparison theorem and a problem of Braess. (Short Communication).
Bernstein's Constant And Best Approximatioin On [0, ∞)
Bernstein's constant and best approximation on ...0, ...).
Best Approximation with Exponential Orders and Intermediate Spaces.
Best Constants Occuring with the Modulus of Continuity in the Error Estimate for Spline Interpolants of Odd Degree on Equidistant Grids.
Bleimann, Butzer, and Hahn operators based on the -integers.
Certain family of Durrmeyer type operators
The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.