Best approximation in spaces with asymmetric norm
Abstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…
2006
On the converses of the reduction principle in inner product spaces
Abstract Let \(H\) be an inner product space, \(X\) a complete subspace of \(H\), and \(Y\) a closed subspace of…
On a class of linear positive bivariate operators of King type
Abstract The concern of this note is to introduce a general class of linear positive operators of discrete type acting…
On the variation detracting property of a class of operators
Abstract This work is focused upon the study of a general class of linear positive operators of discrete type. We…
On approximation of functions by positive linear operators
Abstract The aim of the present paper is to point out basic results concerning the approximation of functions by using…
Linear operators that preserve some test functions
Abstract The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness…
Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…
The nonlinear heat equation via fixed point principles
Abstract Starting with the existence and uniqueness result of J.L.Lions for the non-homogenous heat equation with the source term in…
Positive solutions of nonlinear singular integral equations in ordered Banach spaces
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…
Aronszajn type theorems for integral equations on unbounded domains via maximal solutions
Abstract This paper discusses the topological structure of the solution set of a general Volterra integral equation. Under natural conditions…