Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602677 | Linear Algebra and its Applications | 2007 | 7 Pages |
Abstract
We improve Bebiano-Lemos-Providência inequality: For A,B⩾0A,B⩾0A1+t2BtA1+t2⩽A12As2BsAs2tsA12for all s⩾t⩾0s⩾t⩾0. In our discussion, Furuta inequality plays an essential role. Actually we haveA1+s2B1+sA1+s2p+sp(1+s)⩽A12As2Bp+sAs21pA12for p⩾1p⩾1 and s⩾0s⩾0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masatoshi Fujii, Ritsuo Nakamoto, Masaru Tominaga,