ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION

doi:10.1016/S0252-9602(06)60087-8

数学物理学报(英文版)

ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION

蔡好涛; 杜金元

曲阜师范大学数学系, 曲阜 273165 中国科学院数学与系统科学研究院, 北京 100080

收稿日期:2004-05-10 修回日期:2005-07-16 出版日期:2006-10-20 发布日期:2006-10-20
通讯作者: 蔡好涛

ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION

Cai Haotao; Du Jinyuan

Department of mathematics, Qufu Normal University, Qufu 273165, ChinaAcademy of Mathematics and Systems Science, CAS, Beijing 100080, China

Received:2004-05-10 Revised:2005-07-16 Online:2006-10-20 Published:2006-10-20
Contact: Cai Haotao

摘要/Abstract

摘要：

This article, first gives the estimaties of two modulus, namely, generalized Lebesgue constant and modulus of generalized singular integral quadrature formulas, then applies them to obtain the error bounds of the operator BL_m^p to the operator B.

关键词: Cauchy kernel, Dini conditions, generalized Jacobi weight

Abstract:

Key words: Cauchy kernel, Dini conditions, generalized Jacobi weight

中图分类号:

45E10

蔡好涛; 杜金元. ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION[J]. 数学物理学报(英文版), 2006, 26(4): 610-614.

Cai Haotao; Du Jinyuan. ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION[J]. Acta mathematica scientia,Series B, 2006, 26(4): 610-614.

ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION

ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION

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