This survey is devoted to a series of investigations developed in the last fifteen years,
starting from the introduction of a sequence of positive linear operators which modify the …

In this paper we recover a generalization of the classical Bernstein operators introduced by
Morigi and Neamtu in 2000. Specifically, we focus on a sequence of operators that …

We study the existence and shape preserving properties of a generalized Bernstein operator
B n fixing a strictly positive function f 0, and a second function f 1 such that f 1/f 0 is strictly …

By incorporating two exponential functions into the cubic Bernstein basis functions, a new
class of λμ-Bernstein basis functions is constructed. Based on these λμ-Bernstein basis …

Systems of weight functions and corresponding generalised derivatives are classically used
to build extended Chebyshev spaces on a given interval. This is a well-known procedure …

In this paper we introduce a new family of Bernstein-type exponential polynomials on the
hypercube\([0, 1]^ d\) and study their approximation properties. Such operators fix a …

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The cycloidal spaces C n, generated by the trigonometric polynomials of degree 1 and
algebraic polynomials of degree n− 2, have important applications in computer-aided …

The main goal of this paper is to study shape preserving properties of univariate Lototsky–
Bernstein operators L n (f) based on Lototsky–Bernstein basis functions. The Lototsky …

We prove that it is possible to construct Bernstein-type operators in any given Extended
Chebyshev space and we show how they are connected with blossoms. This generalises …