Some new integral inequalities for functions whose nth derivatives in absolute value are (?, m)-convex functions
نویسندگان
چکیده
منابع مشابه
Hermite-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.
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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.
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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 ...
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We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.
متن کاملGeneralization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α,m)-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 Hadamard-like, which estimate the difference between 1 b−a b a f (x)dx and 1 2 f (n−1)a+b n + f a+(n−1)b n for n ∈ N with n ≥ 1, are established for functions whose derivative in absolute values are c...
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ژورنال
عنوان ژورنال: New Trends in Mathematical Science
سال: 2017
ISSN: 2147-5520
DOI: 10.20852/ntmsci.2017.166