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A generalizations of Simpson's type inequality for differentiable functions using (alpha, m)-convex functions and applications
Journal article   Open access  Peer reviewed

A generalizations of Simpson's type inequality for differentiable functions using (alpha, m)-convex functions and applications

Shahid Qaisar, Chuanjiang He and Sabir Hussain
Journal of inequalities and applications, Vol.2013(1), pp.1-13
08/04/2013
DOI: https://doi.org/10.1186/1029-242X-2013-158

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish some new inequalities of Simpson's type based on (alpha, m)-convexity for differentiable mappings. This contributes to new better estimates than presented already. Some applications for special means of real numbers and error estimates for some numerical quadrature rules are also given.
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https://doi.org/10.1186/1029-242X-2013-158View
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