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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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- Estimation of growths of composite entire and meromorphic functions using their generalized relative orders
- Estimation of growths of composite entire and meromorphic functions using their generalized relative orders
- Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders
- On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
- Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders
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