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Error estimates for some quadrature rules with maximal trigonometric degree of exactness
Author(s) -
Stanić Marija P.,
Cvetković Aleksandar S.,
Tomović Tatjana V.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2929
Subject(s) - mathematics , quadrature (astronomy) , trigonometry , degree (music) , complex plane , trigonometric functions , weight function , clenshaw–curtis quadrature , differentiation of trigonometric functions , mathematical analysis , function (biology) , gaussian quadrature , integral equation , nyström method , geometry , physics , linear interpolation , acoustics , polynomial , electrical engineering , bicubic interpolation , engineering , evolutionary biology , biology
In this paper, we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on ( − π , π ) for integrand analytic in a certain domain of complex plane. Copyright © 2013 John Wiley & Sons, Ltd.