Acta mathematica scientia, Series B >
ON THE ESTIMATION OF GENERALIZED LEBESGUE CONSTANT AND MODULUS OF GENERALIZED SINGULAR QUADRATURE FORMULAS AND ITS APPLICATION
Received date: 2004-05-10
Revised date: 2005-07-16
Online published: 2006-10-20
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 BLmp to the operator B.
Key words： Cauchy kernel; Dini conditions; generalized Jacobi weight
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 . DOI: 10.1016/S0252-9602(06)60087-8
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