On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel
Abstract By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent forms are obtained. The equivalent s...
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2021-03-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-021-02577-z |
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doaj-1c2fe677bb21429eb96e534821558a6a2021-03-11T11:14:09ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-03-012021112010.1186/s13660-021-02577-zOn a reverse Mulholland-type inequality in the whole plane with general homogeneous kernelRicai Luo0Bicheng Yang1Xingshou Huang2School of Mathematics and Statistics, Hechi UniversityDepartment of Mathematics, Guangdong University of EducationSchool of Mathematics and Statistics, Hechi UniversityAbstract By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent forms are obtained. The equivalent statements of the best possible constant factor related to several parameters and a few applied examples are presented.https://doi.org/10.1186/s13660-021-02577-zWeight coefficientMulholland-type inequalityEquivalent formEquivalent statementParameterReverse |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ricai Luo Bicheng Yang Xingshou Huang |
| spellingShingle |
Ricai Luo Bicheng Yang Xingshou Huang On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel Journal of Inequalities and Applications Weight coefficient Mulholland-type inequality Equivalent form Equivalent statement Parameter Reverse |
| author_facet |
Ricai Luo Bicheng Yang Xingshou Huang |
| author_sort |
Ricai Luo |
| title |
On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel |
| title_short |
On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel |
| title_full |
On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel |
| title_fullStr |
On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel |
| title_full_unstemmed |
On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel |
| title_sort |
on a reverse mulholland-type inequality in the whole plane with general homogeneous kernel |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2021-03-01 |
| description |
Abstract By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent forms are obtained. The equivalent statements of the best possible constant factor related to several parameters and a few applied examples are presented. |
| topic |
Weight coefficient Mulholland-type inequality Equivalent form Equivalent statement Parameter Reverse |
| url |
https://doi.org/10.1186/s13660-021-02577-z |
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