Inequalities of Hardy-Littlewood-Polya type for operators in Hilbert space

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), http://orcid.org/0000-0001-6677-1914
N.A. Kryachko (Oles Honchar Dnipropetrovsk National University)

Abstract


We obtained sharp "multiplicative" and sharp "additive" inequalities of Hardy-Littlewood-Polya type for operators in Hilbert space.

Keywords


Hilbert space; operator; inequalities of Hardy-Littlewood-Polya type

References


Hardy G.H., Littlewood J.E., Polya G. Inequalities, GIIL, Moscow, 1948; 456 p. (in Russian)

Babenko V.F., Rassias T.M. "On Exact Inequalities of Hardy-Littlewood-Polya Type", J. of Mathematical Analysis and Applications, 2000; 245: pp. 570-593.

Korneichuk N.P., Babenko V.F., Kofanov V.A., Pichugov S.A. Inequalities for derivatives and their applications, Nauk. dumka, Kyiv, 2003; 590 p. (in Russian)


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Copyright (c) 2013 V.F. Babenko, N.A. Kryachko

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ISSN (Online): 2518-7996
ISSN (Print): 2312-9557