Geodesic
Some classical inequalities and their applications
Filomat, Tome 35 (2021) no. 7, p. 2165

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DOI

In this paper, we define analogies of classical Hölder-McCarthy and Young type inequalities in terms of the Berezin symbols of operators on a reproducing kernel Hilbert space H = H (Ω) . These inequalities are applied in proving of some new inequalities for the Berezin number of operators. We also define quasi-paranormal and absolute-k-quasi paranormal operators and study their properties by using the Berezin symbols
DOI : 10.2298/FIL2107165H
Classification : 47A63, 26D15, 47B10
Keywords: Reproducing kernel Hilbert space, Berezin symbol, Berezin number, quasi-paranormal operator, Hölder-McCarthy type inequality, Young type inequality 
Mualla Birgül Huban; Mehmet ;  Gürdal; Havva Tilki. Some classical inequalities and their applications. Filomat, Tome 35 (2021) no. 7, p. 2165 . doi: 10.2298/FIL2107165H
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     title = {Some classical inequalities and their applications},
     journal = {Filomat},
     pages = {2165 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107165H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107165H/}
}
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