New error bounds for the Simpson’s quadrature rule and applications
نویسندگان
چکیده
منابع مشابه
Three error bounds for the Simpson quadrature rule
Three new error bounds are presented for the well-known Simpson quadrature rule in ] , [ 1 b a L and ] , [ b a L spaces.
متن کاملError Bounds for Gauss-kronrod Quadrature Formulae
The Gauss-Kronrod quadrature formula Qi//+X is used for a practical estimate of the error R^j of an approximate integration using the Gaussian quadrature formula Q% . Studying an often-used theoretical quality measure, for ߣ* , we prove best presently known bounds for the error constants cs(RTMx)= sup \RlK+x[f]\ ll/(l»lloo<l in the case s = "Sn + 2 + tc , k = L^J LfJ • A comparison with the Ga...
متن کاملError bounds for interpolatory quadrature rules on the unit circle
For the construction of an interpolatory integration rule on the unit circle T with n nodes by means of the Laurent polynomials as basis functions for the approximation, we have at our disposal two nonnegative integers pn and qn, pn + qn = n − 1, which determine the subspace of basis functions. The quadrature rule will integrate correctly any function from this subspace. In this paper upper bou...
متن کاملQuadrature rule-based bounds for functions of adjacency matrices
Article history: Received 21 January 2010 Accepted 24 March 2010 Available online 17 April 2010 Submitted by R.A. Brualdi AMS classification: Primary: 65F50, 65F60, 15A16 Secondary: 05C20, 05C82
متن کاملError bounds for Gauss-Tur'an quadrature formulae of analytic functions
We study the kernels of the remainder term Rn,s(f) of GaussTurán quadrature formulas ∫ 1 −1 f(t)w(t) dt = n ∑
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2007
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.12.008