Berezin Number, Grüss-Type Inequalities and Their Applications

Abstract

In this paper, we study the Berezin number inequalities by using the transform \(C_{\alpha ,\beta }\left( A\right) \) on reproducing kernel Hilbert spaces (RKHS). Moreover, we give Grüss-type inequalities for selfadjoint operators in RKHS.

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Acknowledgements

We are thankful to the anonymous referees for their valuable comments to improve the quality of the article. This work was supported by Süleyman Demirel University with Project FYL-2018-6696.

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Correspondence to Ulaş Yamancı.

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Yamancı, U., Tunç, R. & Gürdal, M. Berezin Number, Grüss-Type Inequalities and Their Applications. Bull. Malays. Math. Sci. Soc. 43, 2287–2296 (2020). https://doi.org/10.1007/s40840-019-00804-x

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Keywords

  • Berezin number
  • Berezin symbol
  • Selfadjoint operators
  • Grüss inequality

Mathematics Subject Classification

  • Primary 47A63