5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.CA2019
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…
math.CA2016★ 5 cited
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…
math.CA2015
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…