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A reverse Mulholland-type inequality in the whole plane
1Department of Mathematics, Guangdong University of Education, Guangzhou, P.R. China.
Journal of Inequalities and Applications
|April 21, 2018
Summary
Researchers established a novel reverse Mulholland-type inequality in the entire plane. This inequality features a best possible constant and is proven using multiparameters and the Hermite-Hadamard inequality.
Area of Science:
- Mathematical Analysis
- Inequalities
Background:
- Reverse inequalities are crucial in various mathematical fields.
- Mulholland-type inequalities have specific applications in analysis.
Purpose of the Study:
- To establish a new reverse Mulholland-type inequality in the whole plane.
- To determine the best possible constant factor for this inequality.
Main Methods:
- Introduction of multiparameters.
- Application of weight coefficients.
- Utilization of the Hermite-Hadamard inequality.
Main Results:
- A novel reverse Mulholland-type inequality is presented.
- The best possible constant factor for the inequality is identified.
- Equivalent forms and particular cases of the inequality are explored.
Conclusions:
- The study provides a new inequality with optimal constants.
- The findings contribute to the theory of integral inequalities.
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