Finally, we conclude our paper with applications containing some means.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we first construct a new generalization of $n$-polynomial convex function.
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Key Findings & Data:That is, this study is a generalization of the definition of "$n$-polynomial convexity" previously found in the literature.
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Conclusion & Impact:Finally, we conclude our paper with applications containing some means.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:convex function · n-polynomial convexity · generalized n-polynomial convexity
Abstract
In this paper, we first construct a new generalization of $n$-polynomial convex function. That is, this study is a generalization of the definition of "$n$-polynomial convexity" previously found in the literature. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of $n$-polynomial convexity. Also, we see that the obtained results in the paper while comparing with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
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