Approximating the Riemann–Stieltjes integral via some moments of the integrand

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Approximating the Riemann-Stieltjes integral via some moments of the integrand

Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integrand are given. Applications for p convex functions and in approximating the Finite Foureir Transform are pointed out as well. 1. Introduction In order to approximate the Riemann-Stieltjes integral R b a f (t) du (t) with the arguably simpler expression (1.1) u (b) u (a) b a Z b a f (t) dt; where R...

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ژورنال

عنوان ژورنال: Mathematical and Computer Modelling

سال: 2009

ISSN: 0895-7177

DOI: 10.1016/j.mcm.2008.02.011