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GENERALISATIONS OF INTEGRAL INEQUALITIES OF HERMITE–HADAMARD TYPE THROUGH CONVEXITY
2012
Bulletin of the Australian Mathematical Society
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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 s-(α,m)-convex.The generalised integral inequalities contribute some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.
doi:10.1017/s0004972712000937
fatcat:ivtpd5d3xvafbjhhu7zwk4qtp4