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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 2

Parameterized Newton-type inequalities associated with convex functions via quantum calculus

Muhammad Umar(COMSATS University Islamabad)0000-0001-9911-1111
Saad Ihsan Butt Dr.(COMSATS University Islamabad)0000-0001-7192-8269
Hüseyin Budak(DUZCE UNIVERSITY)0000-0001-8843-955X
Pages
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Publication Date
2025-06-19
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AI Summary & Key Takeaways

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

In order to validate the recently discovered inequalities, we conclude by providing mathematical examples of convex functions along with some graphical analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Using the concept of quantum derivatives and integrals, we first develop a new parameterized identity in this work.
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Key Findings & Data:This parameterized quantum identity is used to demonstrate parameterized quantum Newton-type inequalities related to convex functions.
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Conclusion & Impact:In order to validate the recently discovered inequalities, we conclude by providing mathematical examples of convex functions along with some graphical analysis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Newton-type inequality · convex functions · quantum calculus

Abstract

Using the concept of quantum derivatives and integrals, we first develop a new parameterized identity in this work. This parameterized quantum identity is used to demonstrate parameterized quantum Newton-type inequalities related to convex functions. We also demonstrate how setting $\mathit{q} \to 1^{-}$ allows the newly generated inequalities to be recovered into some existing inequalities. In order to validate the recently discovered inequalities, we conclude by providing mathematical examples of convex functions along with some graphical analysis.

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Cite This Article

Umar, M., Dr., S. I. B., Budak, H. (2025). Parameterized Newton-type inequalities associated with convex functions via quantum calculus. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 2. https://doi.org/10.31801/cfsuasmas.1434544

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