APPROXIMATING THE STIELTJES INTEGRAL FOR (φ,Φ)-LIPSCHITZIAN INTEGRATORS

Publisher: Cambridge University Press

E-ISSN: 1755-1633|77|1|73-90

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.77, Iss.1, 2008-02, pp. : 73-90

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Abstract

Approximations for the Stieltjes integral with (φ,Φ)-Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalized trapezoid and Ostrowski inequalities are also provided.