• 検索結果がありません。

Octavian Agratini, Ioan A. Rus 1JAH=JAI B = ?=II B @EI?HAJA EA=H FAH=JHI LE= ?JH=?JE FHE?EFA

N/A
N/A
Protected

Academic year: 2022

シェア "Octavian Agratini, Ioan A. Rus 1JAH=JAI B = ?=II B @EI?HAJA EA=H FAH=JHI LE= ?JH=?JE FHE?EFA"

Copied!
1
0
0

読み込み中.... (全文を見る)

全文

(1)

Octavian Agratini, Ioan A. Rus

Iterates of a class of discrete linear operators via contraction principle

Comment.Math.Univ.Carolinae 44,3 (2003) 555-563.

Abstract: In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.

Keywords: linear positive operators, contraction principle, weakly Picard opera- tors, delta operators, operators of binomial type

AMS Subject Classification: 41A36, 47H10

1

参照

関連したドキュメント

We remark that Theorem A.1, Corollary A.2 and Theorem A.3 are results on p-hyponormal operators for p (0, 1], and Theorem A.4 is a result on n-hyponormal operators for positive

We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We

Knowing from the Motzkin Straus theorem 27 or see, e.g., 26 that maxx Ax/K 2 1 − 1/K holds exactly if there is a maximum clique with size K indicated by a binary vector x, we see

Let X be a smooth projective variety defined over an algebraically closed field k of positive characteristic.. By our assumption the image of f contains

This is the well-known Hahn-Banach theorem, that is, the extension theorem for bounded lin- ear functionals on normed linear spaces.. The following theorem is Hahn’s result

Namely, in this case we should require that the indices at 0 are those of L n 0 , where L 0 is a rational homogeneous operator of order ` with integer indices, and we conjecture

In this paper, we are going to show that this is impossible and that H (without any shift) is the worst distributed net of all the digital (0, m, 2)-nets over Z 2 that are

It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat