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

V.F. Babenko (Oles Honchar Dnipropetrovsk National University),
N.A. Kryachko (Oles Honchar Dnipropetrovsk National University)


We obtained sharp "multiplicative" and sharp "additive" inequalities of Hardy-Littlewood-Polya type 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.

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