On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function
Abstract Using weight functions, we establish a few equivalent statements of two kinds of Hardy-type integral inequalities with nonhomogeneous kernel in the whole plane. The constant factors related to the extended Hurwitz-zeta function are proved to be the best possible. In the form of applications...
| 發表在: | Journal of Inequalities and Applications |
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| Main Authors: | , , |
| 格式: | Article |
| 語言: | 英语 |
| 出版: |
SpringerOpen
2020-04-01
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| 主題: | |
| 在線閱讀: | http://link.springer.com/article/10.1186/s13660-020-02365-1 |
| 總結: | Abstract Using weight functions, we establish a few equivalent statements of two kinds of Hardy-type integral inequalities with nonhomogeneous kernel in the whole plane. The constant factors related to the extended Hurwitz-zeta function are proved to be the best possible. In the form of applications, we deduce some special cases involving homogeneous kernel. We additionally consider some particular inequalities and operator expressions. |
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| ISSN: | 1029-242X |