Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
Recent Studies in Mathematics and Computer Science Vol. 2,
Page 1-14
Abstract
By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related the beta function is proved to be the best possible. As applications, the case of the homogeneous kernel, the operator expressions and a few corollaries are considered.
Keywords:
- Hilbert-type integral inequality
- weight function
- equivalent statement
- operator
- beta function
How to Cite
Yang, B., Xin, D., & Wang, A. (2020). Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane. Recent Studies in Mathematics and Computer Science Vol. 2, 1-14. Retrieved from https://stm1.bookpi.org/index.php/rsmcs-v2/article/view/1448
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