Journals / Turkish Journal of Science and Technology / 2022 / Volume: 17 Issue: 2

Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals

Mehmet Kunt(KARADENİZ TEKNİK ÜNİVERSİTESİ)0000-0002-8730-5370
Zeynep Şanlı(MERSİN ÜNİVERSİTESİ)0000-0002-1564-2634
Pages
—
Publication Date
2022-09-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Moreover, some new quantum Hermite-Hadamard type inequalities were established.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the concepts of quantum derivative and quantum integral were renamed to be the left quantum derivative and the left definite quantum integral.
📊
Key Findings & Data:Symmetrically to the left, a new quantum derivative (the right) and definite quantum integral (the right) were defined.
💡
Conclusion & Impact:Moreover, some new quantum Hermite-Hadamard type inequalities were established.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quantum Derivative · Quantum Integral · Integral Inequalities

Abstract

In this work, the concepts of quantum derivative and quantum integral were renamed to be the left quantum derivative and the left definite quantum integral. Symmetrically to the left, a new quantum derivative (the right) and definite quantum integral (the right) were defined. Some properties of these new concepts were investigated and as well as according to do these new concepts some inaccuracies in quantum integral inequalities were corrected. Moreover, some new quantum Hermite-Hadamard type inequalities were established.

🔖

Cite This Article

Kunt, M., Baidar, A., Şanlı, Z. (2022). Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. Turkish Journal of Science and Technology, Volume: 17 Issue: 2. https://doi.org/10.55525/tjst.1112582

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. Ali, M. A., Abbas, M., Budak, H., Agarwal, P., Murtaza, G., & Chu, Y. M. (2021). New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Advances in Di¤erence Equations, 2021(1), 1-21.