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Hermite-Hadamard inequalities and their applications
Marcela V Mihai1, Muhammad Uzair Awan2, Muhammad Aslam Noor3
1Department Scientific-Methodical Sessions, Romanian Mathematical Society-Branch Bucharest, Bucharest, Romania.
Journal of Inequalities and Applications
|March 7, 2019
Summary
New Hermite-Hadamard inequalities were established, offering novel mathematical insights. Detailed examples illustrate the application and significance of these findings in mathematical analysis.
Area of Science:
- Mathematical Analysis
- Inequalities Theory
Background:
- The Hermite-Hadamard inequality is a fundamental result in convex analysis.
- Existing inequalities provide bounds for integral properties of convex functions.
Purpose of the Study:
- To establish new variants of the Hermite-Hadamard type inequalities.
- To extend the existing body of knowledge in inequality theory.
Main Methods:
- Utilizing techniques from classical analysis.
- Developing novel mathematical derivations for inequality proofs.
Main Results:
- The paper introduces and proves several new Hermite-Hadamard type inequalities.
- The established inequalities offer tighter or more generalized bounds compared to previous results.
Conclusions:
- The newly established inequalities contribute to the field of mathematical analysis.
- The detailed examples demonstrate the practical relevance and applicability of the new findings.
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