Search Results - "KOVACHEVA, R. K"

On the Distribution of Zeros and Poles of Rational Approximants on Intervals by Andrievskii, V. V., Blatt, H.-P., Kovacheva, R. K.

“…The distribution of zeros and poles of best rational approximants is well understood for the functions f(x)=|x|α, α>0. If f∈C[−1,1] is not holomorphic on…”
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Regions of meromorphy and value distribution of geometrically converging rational functions by Blatt, H.-P., Grothmann, R., Kovacheva, R.K.

“…Let D be a region, { r n } n ∈ N a sequence of rational functions of degree at most n and let each r n have at most m poles in D, for m ∈ N fixed. We prove…”
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Distribution of zeros of the Hermite-Padé polynomials for a system of three functions, and the Nuttall condenser by Kovacheva, R. K., Suetin, S. P.

“…The well-known approach of J. Nuttall to the derivation of strong asymptotic formulas for the Hermite-Padé polynomials for a set of m multivalued functions is…”
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Distribution of interpolation points of maximally convergent multipoint Padé approximants by Blatt, H.-P., Kovacheva, R.K.

“…The paper investigates the distribution of interpolation points of m1-maximally convergent multipoint Padé approximants with numerator degree ≤n and…”
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An analogue of Montel's theorem for some classes of rational functions by Kovacheva, R. K., Lawrynowicz, J.

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A note on the limiting distribution of the zeros of Padé approximants for some classes of functions by Kovacheva, R.K.

“…In the present paper, we deal with functions f( z) := ∑ ∞ n=0 a n z n whose coefficients satisfy a special smoothness condition. Theorems concerning the…”
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Distribution of points of interpolation and of zeros of exact maximally convergent multipoint Pad\'e approximants by Kovacheva, R. K

“…Given a regular compact set $E$ in the complex plane, a unit measure $\mu$ supported by $\partial E,$ a triangular point set $\beta :=…”
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Sign changes in rational L w 1 -approximation by Blatt, H.-P., Grothmann, R., Kovacheva, R. K.

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A note on the limiting distribution of the zeros of Padé approximants for some classes of functions: Concrete analysis by KOVACHEVA, R. K

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An Analogue of Montel's Theorem for Rational Functions of Best Lp- Approximation by Kovacheva, R.K., Ławrynowicz, J.

“…For sequences of rational functions, analytic in some domain, a theorem of Montel's type is proved. As an application, sequences of rational functions of best…”
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Some numerical results on the behavior of zeros of the Hermite-Pad\'e polynomials by Ikonomov, N. R, Kovacheva, R. K, Suetin, S. P

“…We introduce and analyze some numerical results obtained by the authors experimentally. These experiments are related to the well known problem about the…”
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Zeros of Padé Error Functions for Functions with Smooth Maclaurin Coefficients by Kovacheva, R.K.

“…We deal with functions f( z) ≔ Σ ∞ n = 0 a nz n whose coefficients satisfy Lubinsky′s smoothness condition, namely, a j + 1 · a j − 1 / a 2 j → η as j → ∞, η ≠…”
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