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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 18 - Sayı: 4

Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions

Duygu DÖNMEZ DEMİR
Gülsüm ŞANAL
Pages
355–363
Publication Date
2022-12-26
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Besides, the mentioned inequalities for strongly log-convex functions are reduced to the ones given for log-convex functions with a suitable choice of the arbitrary constant.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is to introduce some inequalities for n-times differentiable strongly log-convex functions.
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Key Findings & Data:The perturbed trapezoid inequality is used to establish the new inequalities.
💡
Conclusion & Impact:Besides, the mentioned inequalities for strongly log-convex functions are reduced to the ones given for log-convex functions with a suitable choice of the arbitrary constant.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · log-convex function · strongly log-convex function

Abstract

The aim of this study is to introduce some inequalities for n-times differentiable strongly log-convex functions. The perturbed trapezoid inequality is used to establish the new inequalities. It is seen that these inequalities have a better upper bound than the inequalities obtained for log-convex functions. Besides, the mentioned inequalities for strongly log-convex functions are reduced to the ones given for log-convex functions with a suitable choice of the arbitrary constant.

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Cite This Article

DEMİR, D. D., ŞANAL, G. (2022). Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 18 - Sayı: 4, 355–363. https://ajindex.com/articles/866008

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