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Asymptotic expressions for remainder terms of some quadrature rules

100%

Ujević N., Bilić N.

Open Mathematics

2008

tom 6

nr 4

559-567

Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.

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A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

76%

Alomari M. W.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2016

tom 15

A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) $\int_a^b {f(t)\;du(t)} $ , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Open Mathematics

1 Alomari M. W.

1 Bilić N.

1 Ujević N.

1 2016

1 2008

Wyniki wyszukiwania

Asymptotic expressions for remainder terms of some quadrature rules

A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications