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Different types of quantum integral inequalities via -convexity
Yao Zhang1, Ting-Song Du1,2, Hao Wang1
11Department of Mathematics, College of Science, China Three Gorges University, Yichang, China.
Journal of Inequalities and Applications
|October 27, 2018
Summary
This study introduces new mathematical inequalities using quantum integrals and a concept called -convexity. These findings extend existing mathematical results in the field.
Area of Science:
- Mathematical Analysis
- Inequalities Theory
Background:
- The study builds upon existing literature concerning -convexity and quantum integrals.
- Previous research has explored various types of inequalities, but gaps remain in their generalization.
Purpose of the Study:
- To establish novel inequalities based on the concept of -convexity.
- To generalize and extend existing results in the domain of quantum integral inequalities.
Main Methods:
- Utilizing the framework of quantum calculus.
- Applying the -convexity property to derive new inequalities.
Main Results:
- The paper successfully establishes several new types of inequalities.
- These inequalities are shown to encompass and generalize previously known results.
Conclusions:
- The established inequalities offer a broader perspective on quantum integral inequalities.
- This work contributes to the advancement of mathematical analysis through generalization.
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