Voronovskaya Type Results and Operators Fixing Two Functions

被引：10

作者：

Acu, Ana Maria ^{[1
]}

Maduta, Alexandra-Ioana ^{[2
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr I Ratiu 5-7, RO-550012 Sibiu, Romania

[2] Tech Univ Cluj Napoca, Fac Automat & Comp Sci, Dept Math, Str Memorandumului 28, Cluj Napoca, Romania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2021年 / 26卷 / 03期

关键词：

positive linear operators; Voronovskaya type theorem; extended complete Chebyshev system; operators fixing two functions;

D O I：

10.3846/mma.2021.13228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (L-n) of positive linear operators to a new sequence (K-n) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extended Complete Chebyshev system is described. The Voronovskaya type formula corresponding to the new sequence which is strongly influenced by the nature of the fixed functions is obtained. In the last section our results are compared with other results existing in literature.

引用

页码：395 / 410

页数：16

共 34 条

[1]

Acar T., 2019, Constructive Math. Anal., V2, P98, DOI DOI 10.33205/CMA.547221

[2] Voronovskaya type results for Bernstein-Chlodovsky operators preserving e-2x [J].