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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 2

n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS

Huriye KADAKAL
Pages
529–540
Publication Date
2019-06-01
DOI
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AI Summary & Key Takeaways

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

Moreover, the results we obtained in this article coincide with the previous ones in special cases.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this manuscript, a new identity for functions defined on an open invex subset of set of real numbers is established.
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Key Findings & Data:We present new type integral inequalities for functions whose powers of nth derivatives in absolute value are preinvex and prequasiinvex functions.
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Conclusion & Impact:Moreover, the results we obtained in this article coincide with the previous ones in special cases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Invex set · preinvex function · prequasiinvex function

Abstract

In this manuscript, a new identity for functions defined on an open invex subset of set of real numbers is established. We present new type integral inequalities for functions whose powers of nth derivatives in absolute value are preinvex and prequasiinvex functions. This paper is a generalization of studies being done for functions whose first, second, third and fourth derivatives are preinvex and prequasiinvex. Moreover, the results we obtained in this article coincide with the previous ones in special cases.

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Cite This Article

KADAKAL, H. (2019). n-TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 2, 529–540. https://ajindex.com/articles/419361

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