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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 2

Fractional trapezium type inequalities for twice differentiable preinvex functions and their applications

Artion KASHURI
Rozana LIKO
Pages
226–236
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The ideas and techniques of thispaper may stimulate further research.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Trapezoidal inequalities for functions of divers natures are useful in numericalcomputations.
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Key Findings & Data:The authors have proved an identity for a generalized integraloperator via twice differentiable preinvex function.
💡
Conclusion & Impact:The ideas and techniques of thispaper may stimulate further research.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Trapezoidal inequalities for functions of divers natures are useful in numericalcomputations. The authors have proved an identity for a generalized integraloperator via twice differentiable preinvex function. By applying the established identity, the generalized trapezoidal type integral inequalities have beendiscovered. It is pointed out that the results of this research provide integralinequalities for almost all fractional integrals discovered in recent past decades.Various special cases have been identified. Some applications of presented results to special means have been analyzed. The ideas and techniques of thispaper may stimulate further research.

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Cite This Article

KASHURI, A., LIKO, R. (2022). Fractional trapezium type inequalities for twice differentiable preinvex functions and their applications. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 2, 226–236. https://ajindex.com/articles/440573

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