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math.CV2000★ 2 cited
Simultaneous approximation and interpolation of functions on continua in the complex plane
V. V. Andrievskii, I. E. Pritsker, R. S. Varga
We construct polynomial approximations of Dzjadyk type (in terms of the k-th modulus of continuity, ) for analytic functions defined on a continuum E in the complex plane,…
math.CV2000
On zeros of polynomials orthogonal over a convex domain
V. V. Andrievskii, I. E. Pritsker, R. S. Varga
We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result conc…
math.CV2000
An inequality for the norm of a polynomial factor
Igor E. Pritsker
Let be a monic polynomial of degree , with complex coefficients, and let be its monic factor. We prove an asymptotically sharp inequality of the form $\|q\|_{E} \l…