Quantitative approximation methods apply in many diverse fields of research-neural
networks, wavelets, partial differential equations, probability and statistics, functional …

We deal in this work with quantitative results in the pointwise approximation of func tions by
positive linear functionals and operators. One of the main objectives is to obtain estimates …

In 1885, Weierstrass published his famous theorem asserting that every continuous function
in a compact interval of the real line is the uniform limit of a sequence of algebraic …

This article is concerned with the k-th order Kantorovich modification of the classical
Bernstein operators B n, namely,, where D kf is the derivative of order k and I kf is an …

Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render Page 1 arXiv:2108.07889v1
[math.CA] 17 Aug 2021 Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render …

The starting point of this paper is the construction of a general family (L n) n≥ 1 of positive
linear operators of discrete type. Considering (L nk) k≥ 1 the sequence of iterates of one of …

The problem of the convergence of the iterates of operators or of a sequence of operators is
discussed in a general framework related to the fixed point theory, but with a permanent look …

On some constants in approximation by Bernstein operators 1 Introduction Page 1 General
Mathematics Vol. 16, No. 4 (2008), 137–148 On some constants in approximation by Bernstein …

This paper is aimed at studying sensitivity of parameters α α and β β appearing in the
operators introduced by Stancu (Studia Universitatis Babes-Bolyai 14 (2): 31–45, 1969) …

Using tools of approximation theory, we evaluate rates of bias convergence for sequences of
generalized L-statistics based on iid samples under mild smoothness conditions on the …