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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

New Ostrowski type inequalities for m-convex functions and applications

Merve AVCI
Havva KAVURMACI
M. Emin ÖZDEMİR
Pages
135–145
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Finally, we obtain some error estimates for the midpoint formula.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex.
📊
Key Findings & Data:We also give some applications to special means of positive real numbers.
💡
Conclusion & Impact:Finally, we obtain some error estimates for the midpoint formula.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.

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Cite This Article

AVCI, M., KAVURMACI, H., ÖZDEMİR, M. E. (2022). New Ostrowski type inequalities for m-convex functions and applications. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 135–145. https://ajindex.com/articles/530564

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