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Journals / Sakarya University Journal of Science / 2020 / Cilt: 24 Sayı: 4

Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function

Sercan TURHAN
Pages
665–674
Publication Date
2020-08-01
DOI
—
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AI Summary & Key Takeaways

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

Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Trigonometric P-function is defined as a special case of h-convex function.
📊
Key Findings & Data:In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
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Conclusion & Impact:Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard inequality · Simpson-type inequality · Ostrowski-type inequality

Abstract

Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. With the help of this lemma, we have obtained many integral inequalities and generalisations for trigonometric P-function. We have shown that it goes down to the studies in special cases which are described in our study. Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.

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Cite This Article

TURHAN, S. (2020). Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function. Sakarya University Journal of Science, Cilt: 24 Sayı: 4, 665–674. https://ajindex.com/articles/941905

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