Some Generalizations of Integral Inequalities and Their Applications
Functional Analysis
2015-03-10 v1
Abstract
In this paper, an integral identity for twice differentiable functions is generalized. Then, by using convexity of |f''| or q-th power of |f''| and with the aid of power mean and Holder's inequalities we achieved some new results. We also gave some applications to quadrature formulas and some special means. Therewithal, by choosing (alpha=1/2) in our main results, we obtained some findings in [13].
Cite
@article{arxiv.1503.02500,
title = {Some Generalizations of Integral Inequalities and Their Applications},
author = {Mustafa Gurbuz and Abdullah Yaradilmis},
journal= {arXiv preprint arXiv:1503.02500},
year = {2015}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:1005.2879 by other authors