English

Some Generalization of Hadamard's type Inequalities through Differentiability for s-Convex Function and their Applications

Functional Analysis 2013-06-25 v1 Classical Analysis and ODEs

Abstract

In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral inequalities contributes some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.

Keywords

Cite

@article{arxiv.1306.5516,
  title  = {Some Generalization of Hadamard's type Inequalities through Differentiability for s-Convex Function and their Applications},
  author = {Muhammad Muddassar and Muhammad Iqbal Bhatti},
  journal= {arXiv preprint arXiv:1306.5516},
  year   = {2013}
}

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R2 v1 2026-06-22T00:38:59.347Z