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