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Some Generalizations of Hermite-Hadamard type Integral Inequalities and their Applications

Functional Analysis 2013-04-11 v1

Abstract

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -(α\alpha?;m))-convex.The generalized integral inequalities contribute some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.

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Cite

@article{arxiv.1304.2762,
  title  = {Some Generalizations of Hermite-Hadamard type Integral Inequalities and their Applications},
  author = {Muhammad Muddassar and Muhammad Iqbal Bhatti},
  journal= {arXiv preprint arXiv:1304.2762},
  year   = {2013}
}

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12 Pages