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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some recent results are also improved and applications to special means of positive numbers are given.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, Hermite-Hadamard inequality for differentiable preinvex functions is generalized and refined for n-times differentiable functions which are s-preinvex in the second sense.
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Key Findings & Data:In this paper, Hermite-Hadamard inequality for differentiable preinvex functions is generalized and refined for n-times differentiable functions which are s-preinvex in the second sense.
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Conclusion & Impact:Some recent results are also improved and applications to special means of positive numbers are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard’s inequality · invex set · preinvex function
Abstract
In this paper, Hermite-Hadamard inequality for differentiable preinvex functions is generalized and refined for n-times differentiable functions which are s-preinvex in the second sense. Some recent results are also improved and applications to special means of positive numbers are given.
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Cite This Article
LATIF, M. A., DRAGOMIR, S. S. (2022). Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 839–853. https://ajindex.com/articles/529034