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Journals / Konuralp Journal of Mathematics / 2017 / Cilt: 5 Sayı: 2

A NEW DEFINITION AND PROPERTIES OF QUANTUM INTEGRAL WHICH CALLS $\overline{q}$-INTEGRAL

Necmettin ALP
Mehmet Zeki SARIKAYA
Pages
146–159
Publication Date
2017-10-15
DOI
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AI Summary & Key Takeaways

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

Finaly, we establish some new $\overline{q}$-Hermite-Hadamard type inequalities for convex functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present a new definition of $q$-integral by using trapezoid pieces and we name second sense $q$-integral which is showed $ \overline{q}$-integral and we give some results and properties of $\overline{ q}$-integral.
📊
Key Findings & Data:In this paper, we present a new definition of $q$-integral by using trapezoid pieces and we name second sense $q$-integral which is showed $ \overline{q}$-integral and we give some results and properties of $\overline{ q}$-integral.
💡
Conclusion & Impact:Finaly, we establish some new $\overline{q}$-Hermite-Hadamard type inequalities for convex functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard's inequalities · convex functions · q-integrals

Abstract

In this paper, we present a new definition of $q$-integral by using trapezoid pieces and we name second sense $q$-integral which is showed $ \overline{q}$-integral and we give some results and properties of $\overline{ q}$-integral. Finaly, we establish some new $\overline{q}$-Hermite-Hadamard type inequalities for convex functions.

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Cite This Article

ALP, N., SARIKAYA, M. Z. (2017). A NEW DEFINITION AND PROPERTIES OF QUANTUM INTEGRAL WHICH CALLS $\overline{q}$-INTEGRAL. Konuralp Journal of Mathematics, Cilt: 5 Sayı: 2, 146–159. https://ajindex.com/articles/908896

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