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On new general integral inequalities for h-convex functions
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)Publication Date: 2016-06-01
Authors : Imdat Iscan; Mustafa Aydın;
Page : 73-87
Keywords : h-convex function h-concave function Simpson's inequality Hermite-Hadamard's inequality;
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Abstract
In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are h-convex and h-concave by using power mean inequality, Hölder inequality and some other integral inequalities. Some applications to special means of real numbers are also given.
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Last modified: 2016-10-30 05:11:23