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IMA Journal of Applied Mathematics 1980 26(4):447-451; doi:10.1093/imamat/26.4.447
© 1980 by Institute of Mathematics and its Applications
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A Note on Quadrature Formulae for Cauchy Principal Value Integrals

S. KUMAR

Department of Mathematics, Indian Institute of Technology Hauz Khas, New Delhi-29, India

The quadrature formulae of Chawla & Jayarajan (1975) have been extended in a simple manner for the numerical evaluation of the weighted Cauchy principal value integrals

where {alpha}, ß > –1 and a (–1, 1). The present quadrature formulae give better approximate values for Cauchy principal value integrals than those in Chawla & Kumar (1979), and may also be used for the numerical evaluation of proper integrals


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