The parameter conditions for the existence of the Hilbert-type multiple integral inequality and its best constant factor
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Analysis,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s43034-020-00087-5.pdf
Reference11 articles.
1. Cao, J.F., He, B., Hong, Y., Yang, B.C.: Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels. J. Inequal. Appl. 2018, Paper No. 206, 12 pages (2018)
2. Fichtinggoloz, G.M.: A Course in Differential and Integral Calculus, pp. 407–423. People Education Press, Beijing (1957)
3. Hong, Y., He, B., Yang, B.C.: Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory. J. Math. Inequal. 12(3), 777–788 (2018)
4. Hong, Y., Huang, Q.L., Yang, B.C., Liao, J.Q.: The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications. J. Inequal. Appl. 2017, 316 (2017)
5. Liao, J.Q., Yang, B.C.: A reverse Mulholland-type inequality in the whole plane. J. Inequal. Appl. 2018, 79 (2018)
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