In this article, we the study generalized family of positive linear operators based on two
parameters, which are a broad family of many well-known linear positive operators, eg …

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 approximation properties of the Aldaz–Kounchev–Render (AKR) operators where
investigated in several papers. We improve some existing quantitative results concerning …

The optimal order of approximation,| Ln f (x)− f (x)| of a linear positive operator Ln f (x) is 1/n
and can not be improved however smooth the function may be. We remove the positivity of …

Our work in this article is to construct the α α‐Bernstein–Schurer operators which includes
the qq‐integers. For these new operators, we discuss the shape preserving properties …

The modification of Bernstein operators given by Aldaz, Kounchev and Render has been
intensively studied in the recent years. In this paper we define a corresponding modification …

We prove the unique existence of the functions $ r_n $$(n= 1, 2,\ldots) $ on $[0, 1] $ such
that the corresponding sequence of King operators approximates each continuous function …

JP King constructed a sequence of positive linear operators on C [0, 1] preserving the
constant function 1 and the monomial x2. After that, several papers were devoted to positive …

In this paper, we introduce a new family of generalized blending-type bivariate Bernstein
operators which depends on four parameters s_ 1 s 1, s_ 2 s 2, α _ 1 α 1 and α _ 2 α 2 …

Recently, the authors constructed operators acting on a space of functions defined on
0,∞)\left 0, ∞\right) and preserving 1 and xj x &# x0005E; j for a given j∈ ℕ j ∈ N. To …