In 1949 Marden in his book introduced and studied the differential operator B [f](z)= λ 0 f (z)+
λ 1 nz 2 f′(z)+ λ 2 (nz 2) 2 f ″(z) 2!, defined on polynomials of degree at most n. Here λ 0, λ …

The Mobius Transformation and Smirnov’s Inequality for Polynomials Page 1 ISSN 0001-4346,
Mathematical Notes, 2019, Vol. 105, No. 2, pp. 216–226. © Pleiades Publishing, Ltd., 2019 …

The presented article is devoted to differential inequalities for polynomials. The theme goes
back to the problem posed by the famous chemist DI Mendeleev. This problem was …

The question raised in this article goes back to the problem posed by the famous chemist DI
Mendeleev in 1887 (solved by AA Markov in 1889). In the next 100 years, the Mendeleev …

In 1887, the famous chemist DI Mendeleev posed the following problem: to estimate| f1 (x)|
for a real polynomial f (x), satisfying the condition (Formula Presented). This question arose …

Some methods for finding the maximum feasible subsystems of systems of linear
inequalities are considered. The problem of finding the most accurate algorithm in a …

Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of
operators B that map Pn into itself. In this paper, we establish certain integral estimates …

Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of
operators B that map Pn into itself. In this paper we prove some results concerning the …

В 1887 ДИ Менделеев [1, § 86] поставил следующую проблему: для многочлена f, deg f=
2, удовлетворяющего условию| f (x)|≤ M для x∈[a; b], оценить| f′(x)| для x∈[a; b]. В …

The question raised in this paper goes back to the problem posed by the famous chemist DI
Mendeleev in 1887 (solved by AA Markov in 1889). In the next 100 years, the Mendeleev …