# 2002

## On approximation properties of Balázs-Szabados operators their Kantorovich extension

Abstract In this paper we deal with a sequence of positive linear operators $$\ R_{n}^{\left[ \beta \right] }$$ approximating functions…

## Stancu modified operators revisited

Abstract In this paper we construct a general positive approximation process representing an integral form in Kantorovich sense of the…

## Approximation operators – solutions and questions

Abstract The paper gartes some results concerning linear approximation operators  and it raises three open problems. AuthorsOctavian Agratini Department of…

## On some wavelet type linear operators

Abstract In this paper is introduced a general a class $$\left( L_{k}\right)_{k\in\mathbb{Z}}$$ of linear positive operators of wavelet type. The…

## The mysterious wavelets world

Abstract This survey paper contains the basic ideas of windowed Fourier transform, wavelet transform, wavelet bases and multiresolution analysis, providing…

## On some new operators of discrete type

Abstract In this paper we are dealing with a general class of linear and positive operators of discrete type. We…

## On the rate of convergence for semigroups and processes of Feller type

Abstract Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~$$C_{0}$$-semigroup. Simultaneously a…

## An inequality wich arises in the absence of the mountain pass geometry

Abstract An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of…

## Some existence results for differential equations with both retarded and advanced arguments

Abstract Existence, uniqueness an monotone approximation of solutions to the  Cauchy problem for differential equations with both advanced  and retarded…

## Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type

AbstractThe aim of this lecture is to present a new compactness method for operator inclusions in general, and for Hammerstein…