Approximating the Riemann–Stieltjes integral by a trapezoidal quadrature rule with applications
نویسندگان
چکیده
منابع مشابه
Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
In this paper we provide sharp bounds for the error in approximating the Riemann-Stieltjes integral R b a f (t) du (t) by the trapezoidal rule f (a) + f (b) 2 [u (b) u (a)] under various assumptions for the integrand f and the integrator u for which the above integral exists. Applications for continuous functions of selfadjoint operators in Hilbert spaces are provided as well. 1. Introduction I...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.02.006