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On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f

Smales problem for critical points on certain two raysLet f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical

Lower estimate for the integral means spectrum for p = -1In this paper we show that there exists a function f bounded and univalent in the unit disk

Convergence of series of simple partial fractions in Lp(R)A necessary and sufficient condition for the series {equation presented}, to converge in Lp(R), p

On minimization of cavity drag of hydrofoils on the wetted arc length of profile surfaces. For a given value of the lift coefficient and additional

Integral bounds for simple partial fractions fractions. For even p our estimate is sharp. We also prove a new inequality for L p-norms of simple partial

Viscous flow through straight pore channels of the film-type Averyanov flow in an annular domain and the common Poiseuille flow in a circular tube

Sharp Bohr type inequality

On the Bohr inequality for the Cesáro operator

On the Makarov law of the iterated logarithmWe obtain considerable improvement of Makarov's estimate of the boundary behavior of a general

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