Some properties of a kind of generalized Teodorescu operator in Clifford analysis

被引：4

作者：

Wang, Liping ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei Province, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

基金：

美国国家科学基金会;

关键词：

Clifford analysis; k-regular functions; generalized Teodorescu operator; Holder continuity; stability; EDGE-DETECTION; VALUES;

D O I：

10.1186/s13660-016-1048-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Holder continuity of the generalized Teodorescu operator are discussed. Finally, the stability and error estimate of the generalized Teodorescu operator are given when the boundary surface of the integral domain Omega is perturbed.

引用

页数：11

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