Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
نویسندگان
چکیده
منابع مشابه
Error bounds in approximating the Riemann-Stieltjes integral of Cn+1-class integrands and nonsmooth integrators
In the present paper we investigate the problem of approximating the Riemann-Stieltjes integral R b a f ( ) du ( ) in the case when the integrand f is (n+ 1)-time di¤erentiable (n 0) and the derivative f (n+1) is continuous on [a; b], while the integrator u is Riemann integrable on [a; b] : A priory error bounds for di¤erent classes of functions are provided.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-154