Refined Young inequality with Kantorovich constant
نویسندگان
چکیده
منابع مشابه
Improvements of Young inequality using the Kantorovich constant
Some improvements of Young inequality and its reverse for positive numbers with Kantorovich constant $K(t, 2)=frac{(1+t)^2}{4t}$ are given. Using these inequalities some operator inequalities and Hilbert-Schmidt norm versions for matrices are proved. In particular, it is shown that if $a, b$ are positive numbers and $0 leqslant nu leqslant 1,$ then for all integers $ kgeqsl...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2011
ISSN: 1846-579X
DOI: 10.7153/jmi-05-47