On a converse of Laguerre's theorem.
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Let be a Carathéodory domain. For , let be the class of all functions holomorphic in such that , where is the area of . For , set consists of all polynomials of degree at most . In this paper we study the growth of an entire function in terms of approximation...
In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.