Acta mathematica scientia,Series B

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

Cai Haotao; Du Jinyuan   

  1. 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

Abstract:

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

CLC Number: 

  • 45E10
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