Some generalizations of Hadamard’s-type inequalities through differentiability for s-convex functions and their applications

Muhammad Muddassar () and Muhammad Iqbal Bhatti ()
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Muhammad Muddassar: University of Engineering and Technology
Muhammad Iqbal Bhatti: University of Engineering and Technology

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 2, 131-151

Abstract: 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: Hermite-Hadamard type inequality; s-Convex function; Beta function; Hölder’s Integral Inequality; Quadrature Rules; Special Means (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0007-x

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