Piecewise Quadratic Interpolation and Applications to the Young Inequality

Results in Mathematics - Tập 72 Số 3 - Trang 1315-1328 - 2017
Mohammad Sababheh1
1Department of Basic Sciences, Princess Sumaya University For Technology, Amman, Jordan

Tóm tắt

Từ khóa


Tài liệu tham khảo

Bhatia, R.: Interpolating the arithmetic-geometric mean inequality and its operator version. Linear Algebra Appl. 413, 355–363 (2006)

Hirzallah, O., Kittaneh, F., Krnić, M., Lovričević, N., Pečarić, J.: Refinements and reverses of means inequalities for Hilbert space operators. Banach J. Math. Anal. 7, 15–29 (2013)

Kittaneh, F., Manasrah, Y.: Reverse Young and Heinz inequalities for matrices. Linear Multilinear Algebra 59, 1031–1037 (2011)

Kittaneh, F., Manasrah, Y.: Improved Young and Heinz inequalities for matrices. J. Math. Anal. Appl. 36, 262–269 (2010)

Krnić, M.: More accurate Young, Heinz and Hölder inequalities for matrices. Period. Math. Hung. 71, 78–91 (2015)

Sababheh, M., Choi, D.: A complete refinement of Young’s inequality. J. Math. Anal. Appl. 440(1), 379–393 (2016)

Zhao, J., Wu, J.: Operator inequalities involving improved Young and its reverse inequalities. J. Math. Anal. Appl. 421, 1779–1789 (2015)