# Approximation Theory

## Simultaneous approximation by Gauss–Weierstrass–Wachnicki operators

Abstract In this note, we spotlight a generalization of Weierstrass integral operators introduced by Eugeniusz Wachnicki. The construction involves modified…

## Iterates of multidimensional approximation operators via Perov theorem

AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…

## On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators

Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…

## Kantorovich type operators associated with Jain-Markov operators

AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…

## Approximation of some classes of functions by Landau type operators

Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…

## On Landau-type approximation operators

AbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…

## Approximation properties of a family of integral type operators

AbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…

## Inequalities for Information Potentials and Entropies

AbstractWe consider a probability distribution $$(p_0(x), p_1(x), . . .)$$ depending on a real parameter $$x$$. The associated information potential…

## Iterates of Cheney-Sharma type operators on a triangle with curved side

AbstractWe consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a…

## Interpolation and Applications

Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author,…