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arXiv · 1506.06230

Generalized Alomari functionals

Ana Maria Acu·Heiner Gonska
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Abstract

We consider a generalized form of certain integral inequalities given by Guessab, Schmeisser and Alomari. The trapezoidal, mid point, Simpson, Newton-Simpson rules are obtained as special cases. Also, inequalities for the generalized Alomari functional in terms of the $n$-th order modulus, $n=\overline{1,4}$, are given and applied to some known quadrature rules.

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Ana Maria Acu, Heiner Gonska. 2015-06-20. Generalized Alomari functionals. https://arxiv.org/abs/1506.06230

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