The results obtained can be considered a generalization of certain known results.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:The results obtained can be considered a generalization of certain known results.
🔬Design:Research Article
📍Scope:2004 Verileri
⚙️Variables:Ostrowski inequality · power mean inequality · Hölder inequality
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.
MEFTAH, B., AZAİZİA, A. (2022). On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. Journal of New Theory, Cilt: 2021 - Sayı: 34, 1–11. https://ajindex.com/articles/565728
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