Generalizations of young-type inequalities via quadratic interpolation
Main Article Content
Generalizations of young-type inequalities via quadratic interpolation
Abstract
In this paper, we give some new improvements of the famous works of F. Kittaneh, Y. Manasrah about Young's inequalities published on the J. Math. Anal. Appl. (2010) and Linear Multilinear Algebra (2011) via the theory of quadratic interpolations. As applications, we also establish corresponding inequalities for matrix and operator versions.
Article Details
How to Cite
Phan, T. M., Tran, Q. M., & Duong, Q. H. (2022). Generalizations of young-type inequalities via quadratic interpolation. Tay Nguyen Journal of Sciences, 16(56). https://doi.org/10.5281/zenodo.7344612
Section
Khoa học Tự nhiên & Công nghệ

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
- Choi, D., Krnić, M., & Pecarić, J. (2017). Improved Jensen-type inequalities via linear interpolation and applications. J. Math. Inequal., 11(2), 301–322.
- Dragomir, S. S. (2006). Bounds for the normalised Jensen functional. Bull. Austral. Math. Soc., 74(3), 471–478.
- Kittaneh, F., & Manasrah, Y. (2010). Improved Young and Heinz inequalities for matrices. J. Math. Anal. Appl., 361(1), 262–269.
- Kittaneh, F., & Manasrah, Y. (2011). Reverse Young and Heinz inequalities for matrices. Linear and Multilinear Algebra, 59(9), 1031–1037.
- Manasrah, Y., & Kittaneh, F. (2015). A generalization of two refined Young inequalities. Positivity, 19(4), 757–768.
- Zhao, J., & Wu, J. (2015). Operator inequalities involving improved Young and its reverse inequalities. J. Math. Anal. Appl., 421(2), 1779–1789.