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)


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


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


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.

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

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

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



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