22 citations · 31 across the 5 of their papers we have counts for
6 papers
Gorin's problem for individual simple partial fractions
Petr Chunaev, Vladimir Danchenko
The main result of the paper is a lower estimate for the moduli of imaginary parts of the poles of a simple partial fraction (i.e. the logarithmic derivative of an algebraic polyno…
Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions
Petr Chunaev, Vladimir Danchenko
We obtain new parametric quadrature formulas with variable nodes for integrals of complex rational functions over circles, segments of the real axis and the real axis itself. Basin…
Extraction of harmonics from trigonometric polynomials by amplitude and phase operators
V. I. Danchenko, D. G. Vasilchenkova
Extraction of harmonics of a given order from real trigonometric polynomials (signals) is one of the main problems in harmonic analysis. It has many applications in physics, radio…
Extremal and approximation properties of simple partial fractions
V. I. Danchenko, M. A. Komarov, P. V. Chunaev
In approximation theory, logarithmic derivatives of complex polynomials are called simple partial fractions (SPF) as suggested by Eu.P. Dolzhenko. Many solved and unsolved extremal…
Sharp quadrature formulas and Nikol'skii type inequalities for rational functions
V. I. Danchenko, L. A. Semin
Sharp quadrature formulas for integrals of complex rational functions on circles, real axis and its segments are obtained. We also find sharp quadrature formulas for calculation of…
Approximation by amplitude and frequency operators
Petr Chunaev, Vladimir Danchenko
We study Padé interpolation at the node of functions , analytic in a neighbourhood of this node, by amplitude and frequency operators (sums)…