Exact solutions for differential equations in Celestial Mechanics
Abstract There are many problems in Celestial Mechanics which can be reduced to differential equations, either linear or nonlinear. We…
2013
Bilateral inequalities for means
Abstract Let \((M1,M2,M3)\) be three means in two variables chosen from \(H,G,L,I,A,Q,S,C\) so that \(M_{1}(a,b)<M_{2}(a,b)<M_{3}(a,b),0<a<b\). We consider the problem of…
Bivariate positive operators in polynomial weighted spaces
Abstract This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to…
On a double complex sequence of linear operators
Abstract The main goal of the article is to introduce a class of double complex linear operators of integral type.…
Approximation of bivariate functions by truncated classes of operators
Abstract Starting from a general class of positive approximation processes of discrete type expressed by series, we indicate a way…
Approximation properties of a class of linear operators
Abstract This work focuses on a class of linear positive operators of discrete type. We present the relationship between the…
Critical point localization theorems via Ekeland’s variational principle
Abstract In this paper some existence results for critical points of extremum in conical annular regions are established by Ekeland’s…
On a bounded critical point theorem of Schechter
AbstractA new proof based on Bishop-Phelps’ variational principle is given to a critical point theorem of Schechter for extrema in…
Asymptotic stability for a model of cell dynamics after allogeneic bone marrow transplantation
AbstractThe paper presents stability analysis of steady-states of a dynamic system modeling cell evolution after stem cell transplantation. The border…
On the Extensions Preserving the Shape of a Semi-Hölder Function
AbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…