Generalized Alomari functionals
Classical Analysis and ODEs
2015-06-23 v1
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 -th order modulus, , are given and applied to some known quadrature rules.
Cite
@article{arxiv.1506.06230,
title = {Generalized Alomari functionals},
author = {Ana Maria Acu and Heiner Gonska},
journal= {arXiv preprint arXiv:1506.06230},
year = {2015}
}