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On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
ISSN: 2149 - 1402
Publisher: author
On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
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Science General
ARTICLE-FACTOR
1.3
Article Basics Score: 2
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Article Articles Score: 2
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214985351402
eISSN
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2149 - 1402
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Abstract
In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al. [Ostrowski-type Inequalities for Functions Whose Derivatives Satisfy Certain Convexity Assumptions, Demonstratio Mathematica 37(2) (2004) 299-308] and by some simple technical methods, we derive some new Ostrowski-type inequalities for functions whose derivatives in absolute value at a certain power q ≥ 1 lies in the above-cited new class of functions. Some special cases are discussed. The results obtained can be considered a generalization of certain known results.
