Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications | Zendy

Hamdullah Başaran | Zendy; Mehmet Gürdal | Zendy; A. Güncan | Zendy

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Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications

Author(s) -

Hamdullah Başaran,

Mehmet Gürdal,

A. Güncan

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1811-10

Subject(s) - mathematics , hilbert space , inequality , kantorovich inequality , pure mathematics , hölder's inequality , operator (biology) , reproducing kernel hilbert space , rearrangement inequality , algebra over a field , cauchy–schwarz inequality , kernel (algebra) , log sum inequality , ky fan inequality , mathematical analysis , linear inequality , biochemistry , chemistry , repressor , transcription factor , gene

We prove analogs of certain operator inequalities, including Hölder–McCarthy inequality, Kantorovich inequality, and Heinz–Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on the reproducing kernel Hilbert space.

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