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…
2013
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…
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,…
A mixed iteration for nonnegative matrix factorizations
Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory
AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…
Iterates of Bernstein type operators on a square with one curved side via contraction principle
AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…