Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates

In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is of bounded variation on [a, b]. The dual form...

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Bibliographic Details
Main Author: Alomari M.W.
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
Online Access:https://doi.org/10.1515/mjpaa-2018-0010