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Some Generalizations of Integral Inequalities and Their Applications

Authors
  • Gurbuz, Mustafa
  • Yaradilmis, Abdullah
Type
Preprint
Publication Date
Mar 09, 2015
Submission Date
Mar 09, 2015
Identifiers
arXiv ID: 1503.02500
Source
arXiv
License
Yellow
External links

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].

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