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ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS
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 Title & Authors
ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS
Lin, Chia-Shiang; Cho, Yeol-Je;
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 Abstract
We extend the Holder-McCarthy inequality for a positive and an arbitrary operator, respectively. The powers of each inequality are given and the improved Reid`s inequality by Halmos is generalized. We also give the bound of the Holder-McCarthy inequality by recursion.
 Keywords
positive operator;spectral radius of an operator;Holder-McCarthy inequality;Reid′s inequality;Cauchy-Schwarz inequality;
 Language
English
 Cited by
1.
Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces, Linear and Multilinear Algebra, 2017, 1  crossref(new windwow)
 References
1.
Math. Japan, vol.46. pp.317-320

2.
Hilbert Space Problem Book,

3.
Proc. Amer. Math. Soc., vol.129. pp.855-859 crossref(new window)

4.
Acta Math. Sinica,

5.
J. Inequal. Appl.,

6.
High-order and high-power Cauchy-Schwarz inequalities,

7.
Israel J. Math., vol.5. pp.249-271 crossref(new window)

8.
Duke Math. J., vol.18. pp.41-56 crossref(new window)