Generalizations of young-type inequalities via quadratic interpolation
Article Sidebar
Đã Xuất bản:
Oct 31, 2022
Từ khóa:
Bất đẳng thức Young, Tính lồi, Toán tử dương, Ma trận xác định dương, Young inequality, Convexity, Positive operator, Positive definite Matrix
Main Article Content
Generalizations of young-type inequalities via quadratic interpolation
Tóm tắt
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
Chuyên mục
Khoa học Tự nhiên & Công nghệ
Tác phẩm này được cấp phép theo Giấy phép quốc tế Creative Commons Attribution-NonCommercial-NoDeri Phái sinh 4.0 .
Tài liệu tham khảo
- 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.