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Journals / Turkish Journal of Science / 2020 / Cilt: 5 Sayı: 3

New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications

Alper Ekinci(BANDIRMA ONYEDI EYLUL UNIVERSITY)0000-0003-1589-2593
Muhamet Emin Özdemir(ULUDAG UNIVERSITY)0000-0002-5992-094X
Erhan Set(ORDU UNIVERSITY)0000-0003-1364-5396
Pages
290–304
Publication Date
2020-12-30
DOI
—
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AI Summary & Key Takeaways

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

We also give some applications of our results to get new error bounds for the sum of the midpoint formula.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established.
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Key Findings & Data:Some applications to special means of real numbers and applications for P.D.F's are given.
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Conclusion & Impact:We also give some applications of our results to get new error bounds for the sum of the midpoint formula.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Ostrowski inequality · quasi-convex functions · Hölder inequality

Abstract

In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applications for P.D.F's are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.

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Cite This Article

Ekinci, A., Özdemir, M. E., Set, E. (2020). New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications. Turkish Journal of Science, Cilt: 5 Sayı: 3, 290–304. https://ajindex.com/articles/1557559

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References (8)

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