A three point quadrature rule for functions of bounded variation and applications

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A three point quadrature rule for functions of bounded variation and applications

A three point quadrature rule approximating the Riemann integral for a function of bounded variation f by a linear combination with real coef…cients of the values f (a) ; f (x) and f (b) with x 2 [a; b] whose sum equalizes b a is given. Applications for special means inequalities and in establishing a priory error bounds for the approximation of selfadjoint operators in Hilbert spaces by spectr...

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ژورنال

عنوان ژورنال: Mathematical and Computer Modelling

سال: 2013

ISSN: 0895-7177

DOI: 10.1016/j.mcm.2012.07.024