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Journals / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous

Samet ERDEN
Pages
371–379
Publication Date
2019-10-15
DOI
—
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AI Summary & Key Takeaways

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

We also examine connection in between inequalities obtained in earlier works and our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality.
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Key Findings & Data:Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12].
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Conclusion & Impact:We also examine connection in between inequalities obtained in earlier works and our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Absolutely continuous functions · convex functions · Lipschitzian derivatives

Abstract

We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality. Also, it is obtained Hermite Hadamard type and Bullen type inequalities for higher order differentiable functions. Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12]. We also examine connection in between inequalities obtained in earlier works and our results.

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Cite This Article

ERDEN, S. (2019). New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 371–379. https://ajindex.com/articles/786497

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References (15)

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