On inequalities of Hardy-Littlewood-Polya type for operators in Hilbert space

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

Abstract


A family of sharp additive inequalities of Hardy-Littlewood-Polya type has been received for operators in Hilbert space.

Keywords


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

References


Babenko V.F., Rassias T.M. "On Exact Inequalities of Hardy-Littlewood-Polya Type", J. Math. Analys. Applic., 2000; 245: pp. 570-593.


Hardy G.H., Littlewood J.E., Polya G. Inequalities, GIIL, 1948.

Babenko V.F., Korneichuk N.P., Kofanov V.A., Pichugov S.A. Inequalities for derivatives and their applications, Naukova dumka, 2003.

Babenko V.F., Kryachko N.A. "Inequalities of Hardy-Littlewood-Polya type for operators in Hilbert space", Res. Math., 2013; 21: pp. 34-39.




DOI: https://doi.org/10.15421/241401

  

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Copyright (c) 2014 V.F. Babenko, N.A. Kryachko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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