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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 2

Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense

Zeynep EKEN
Pages
318–330
Publication Date
2022-11-02
DOI
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AI Summary & Key Takeaways

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

In addition, these inequalities are used to find an upper bound for error in numerical integration for this type offunctions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, some Hermite-Hadamardtype inequalitesfor $s$-convex functions in the third sense are studied.
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Key Findings & Data:It is establishedseveral new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute valueare $s$-convex in the third sense.
💡
Conclusion & Impact:In addition, these inequalities are used to find an upper bound for error in numerical integration for this type offunctions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, some Hermite-Hadamardtype inequalitesfor $s$-convex functions in the third sense are studied. It is establishedseveral new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute valueare $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type offunctions.

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Cite This Article

EKEN, Z. (2022). Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 2, 318–330. https://ajindex.com/articles/609076

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