On Certain Problems of Chebyshev, Zolotarev, Bernstein and Akhieser.
On convergence of ( , )-sequences of unisolvent rational approximants to meromorphic functions in .
On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces.
On Müntz rational approximation in multivariables
The present paper shows that for any sequences of real numbers, each with infinitely many distinct elements, , j=1,...,s, the rational combinations of are always dense in .
On rational approximations to the exponential
On the approximation of locally bounded functions by operators of Bleimann, Butzer and Hahn.
On the differences of simultaneous rational interpolants
On the rational Tschebyscheff operator.
On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials.
On the Zeros and Poles of Padé Approximants to e-z .
On uniform convergence for (mu,nu)-type rational approximants in II.
On Uniform Convergence of rational, Newton-Padé Interpolants of Type (n, n) with Free Poles as n.....
On unisolvent systems
Optimal Quadrature of Hp Functions.
Optimization of Rational Approximations by Continued Fractions
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.To get guaranteed machine enclosures of a special function f(x), an upper bound ε(f) of the relative error is needed, where ε(f) itself depends on the error bounds ε(app); ε(eval) of the approximation and evaluation error respectively. The approximation function g(x) ≈ f(x) is a rational function (Remez algorithm), and with sufficiently high polynomial degrees ε(app) becomes...
Orthonormal polynomial vectors and least squares approximation for a discrete inner product.
Point derivations and prime ideals in R(X)
Quasianalytic functions in the sense of Bernstein [Book]
Rational Approximation and Weak Analyticity. I.
Rational Approximation and Weak Analyticity. II.