In this paper we present a procedure for the estimation of the Fekete points on a wide variety of non-regular objects in IR. We understand the problem of the Fekete points in terms of the identification of good equilibrium configurations for a potential energy that depends on the relative position of N particles. Although the procedure that we present here works well for different potential ene...

We obtain the Fekete-Szegö inequalities for the classes S S,Σ (*)(α, ϕ) and £ S,Σ(α, ϕ) of biunivalent functions denoted by subordination. The results presented in this paper improve the recent work of Crisan (2013).

In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].

The aim of this paper is to gives sharp bound of the Fekete Szegö coefficient functional for the Janowski α-Spirallike functions associated with the kth root transformation. Mathematics Subject Classification: Primary 30C45, Secondary 30C50

In the present investigation we solve Fekete–Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions.

Fekete’s lemma is a well known combinatorial result on number sequences: we extend it to functions defined on d-tuples of integers. As an application of the new variant, we show that nonsurjective d-dimensional cellular automata are characterized by loss of arbitrarily much information on finite supports, at a growth rate greater than that of the support’s boundary determined by the automaton’s...

Given a set of rectangular items of different sizes and a rectangular container, the aim of the bi-dimensional Orthogonal Packing Problem (OPP-2 for short) is to decide whether there exists a non-overlapping packing of the items in this container. The rotation of items is not allowed. In this paper we present a new exact algorithm for solving OPP-2, based upon the characterization of solutions ...