Approximating the Stieltjes integral via a weighted trapezoidal rule with applications
نویسندگان
چکیده
In this paper we provide sharp error bounds in approximating the weighted Riemann-Stieltjes integral R b a f (t) g (t) d (t) by the weighted trapezoidal rule f(a)+f(b) 2 R b a g (t) d (t) : Applications for continuous functions of selfadjoint operators in complex Hilbert spaces are given as well.
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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عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 57 شماره
صفحات -
تاریخ انتشار 2013