Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
نویسندگان
چکیده
منابع مشابه
Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex.
In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.
متن کاملNew Inequalities of Hermite-hadamard Type for Functions Whose Second Derivatives Absolute Values Are Quasi-convex
hold. This double inequality is known in the literature as the Hermite–Hadamard inequality for convex functions. In recent years many authors established several inequalities connected to this fact. For recent results, refinements, counterparts, generalizations and new Hermite-Hadamard’stype inequalities see [1]–[18]. We recall that the notion of quasi-convex function generalizes the notion of ...
متن کاملSome Hermite-hadamard Type Inequalities for Functions Whose Partial Derivatives in Absolute Value Are Preinvex on the Co-ordinates
In this paper we point out some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are preinvex on the co-ordinates on rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.
متن کاملOstrowski type inequalities for functions whose derivatives are preinvex
In this paper, making use of a new identity, we establish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
متن کاملHermite-Hadamard Type Inequalities for Functions whose Derivatives in Absolute Value are Convex and s-Convex
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, some new generalized Hermite-Hadamard type inequalities for functions whose derivatives in absolute values are convex, concave, s-convex in the second sense, and s-concave in the second sense are established.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-247