Add to ORKGReforms in the field of education in the country today require the creation of modern teaching methods, guidelines, manuals for students, especially to identify talented students, to involve them in research in certain areas of science. By fulfilling these requirements, this article will help students develop the ability to independently observe and develop creative thinking skills. The article is devoted to the problems of algebra solved by classical methods, is intended for students of the mathematical faculty of higher educational institutions and is useful in preparing students of the Faculty of Physics and Mathematics for mathematical Olympiads
We consider the problem of bounding away from $0$ the minimum value $m$ taken by a polynomial $P \in...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractAngelesco systems of measures with Jacobi-type weights are considered. For such systems, str...
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we p...
AbstractIt is customary to define a cyclotomic polynomial Φn(x) to be ternary if n is the product of...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractDenote by Πn+m−12≔{∑0≤i+j≤n+m−1ci,jxiyj:ci,j∈R} the space of polynomials of two variables wi...
AbstractLet A and B be two finite subsets of a field F. In this paper, we provide a non-trivial lowe...
AbstractA polynomial f of degree at most n is said to be ‘self-reciprocal’ if f(z)≡znf(1/z). In this...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
In this paper, three Implicit Runge – Kutta methods are derived using Hermite, Laguerre and Legendre...
AbstractLet Tn be the set of all trigonometric polynomials of degree at most n. Denote by Φ+ the cla...
AbstractIn the present paper we study asymptotic properties for some Sobolev orthogonal polynomials ...
AbstractWe prove that in PG(3,q), q>19, a partial flock of a quadratic cone with q-ɛ planes, can be ...
We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, fo...
We consider the problem of bounding away from $0$ the minimum value $m$ taken by a polynomial $P \in...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractAngelesco systems of measures with Jacobi-type weights are considered. For such systems, str...
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we p...
AbstractIt is customary to define a cyclotomic polynomial Φn(x) to be ternary if n is the product of...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractDenote by Πn+m−12≔{∑0≤i+j≤n+m−1ci,jxiyj:ci,j∈R} the space of polynomials of two variables wi...
AbstractLet A and B be two finite subsets of a field F. In this paper, we provide a non-trivial lowe...
AbstractA polynomial f of degree at most n is said to be ‘self-reciprocal’ if f(z)≡znf(1/z). In this...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
In this paper, three Implicit Runge – Kutta methods are derived using Hermite, Laguerre and Legendre...
AbstractLet Tn be the set of all trigonometric polynomials of degree at most n. Denote by Φ+ the cla...
AbstractIn the present paper we study asymptotic properties for some Sobolev orthogonal polynomials ...
AbstractWe prove that in PG(3,q), q>19, a partial flock of a quadratic cone with q-ɛ planes, can be ...
We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, fo...
We consider the problem of bounding away from $0$ the minimum value $m$ taken by a polynomial $P \in...
AbstractLet the points (1)(xi,yi) (i=l,…, k; k⩾2), a⩽x1≤x2≤⋯ ≤xk⩽b, I= [a,b] (−∞≤a≤b≤∞) be prescribe...
AbstractAngelesco systems of measures with Jacobi-type weights are considered. For such systems, str...