On Generalized Inequalities of Heinz, Halmos and Bernstein
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 149
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We present generalized inequalities of Heinz, Halmos and
Bernstein. It is proved that they are all equivalent to one another. In
fact they are are all equivalent to the Cauchy--Schwarz inequality.
Equality condition and the bound of inequality are established.
@article{10_2298_PIM0373149L,
author = {C.S. Lin},
title = {On {Generalized} {Inequalities} of {Heinz,} {Halmos} and {Bernstein}},
journal = {Publications de l'Institut Math\'ematique},
pages = {149 },
year = {2003},
volume = {_N_S_73},
number = {87},
doi = {10.2298/PIM0373149L},
zbl = {1067.47025},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0373149L/}
}
C.S. Lin. On Generalized Inequalities of Heinz, Halmos and Bernstein. Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 149 . doi: 10.2298/PIM0373149L
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