Generalisations of integral inequalities of Hermite-Hadamard type through convexity
Keywords:
Hermite-Hadamard type inequality, (s-(alpha, m))-Convex function, p-Logarithmic mean, H¨older’s Integral Inequality, Trapezoidal formula, Special Means.Abstract
ABSTRACT. In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermit - Hadamard integral inequality for mappings whose derivatives are (s -(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. 10.1017/S0004972712000937Published
2013-08-10
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