A note on the remainder in the approximation of functions by some positive linear operators

被引：0
|
作者：
Birou, Marius-Mihai [1 ]
机构：
[1] Tech Univ Cluj Napoca, Dept Math, Memorandumului St 28, Cluj Napoca 400114, Romania
来源：
POSITIVITY | 2023年 / 27卷 / 05期
关键词：
Positive linear operator; Remainder term; Peano kernel; Iterates; Quadrature; KERNEL;
D O I：
10.1007/s11117-023-01014-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions. We show that in these cases the Peano kernel from the integral representation of the remainder has the same sign on the definition domain. Applications to the iterates of some positive linear operators and quadrature formulas are given.
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页数：15
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