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On a Relation to Two Basic Hilbert-Type Integral Inequalities
並列摘要
In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to two basic Hilbert-type integral inequalities. The equivalent form and the reverse forms are considered.
延伸閱讀
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- Sun, B. J. (2008). On a Generalization of Hilbert-Type Integral Inequality. International Journal of Mathematics and Mathematical Sciences, 2008(), 337-344. https://doi.org/10.1155/2008/381650
- Mesloub, S., & Bouziani, A. (2001). MIXED PROBLEM WITH INTEGRAL CONDITIONS FOR A CERTAIN CLASS OF HYPERBOLIC EQUATIONS. Journal of Applied Mathematics, 2001(), 107-116. https://doi.org/10.1155/S1110757X01000365
- Qayyum, A., Shoaib, M., Matouk, A. E., & Latif, M. A. (2014). On New Generalized Ostrowski Type Integral Inequalities. Abstract and Applied Analysis, 2014(), 342-349-335. https://doi.org/10.1155/2014/275806
- Bhandari, P. K., & Bissu, S. K. (2016). INEQUALITIES FOR SOME CLASSICAL INTEGRAL TRANSFORMS. Tamkang Journal of Mathematics, 47(3), 351-356. https://doi.org/10.5556/j.tkjm.47.2016.1981