Journal of Applied and Pure Mathematics

  • 제6권3_4호
  • /
  • Pages.191-200
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  • 2024
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  • 2671-4000(pISSN)
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  • 2636-1612(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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GENERALIZATION OF THE BUZANO'S INEQUALITY AND NUMERICAL RADIUS INEQUALITIES

  • VUK STOJILJKOVIC (Faculty of Science, University of Novi Sad, Mathematical Grammar School) ;
  • MEHMET GURDAL (Department of Mathematics, Suleyman Demirel University)
  • 투고 : 2024.04.30
  • 심사 : 2024.06.07
  • 발행 : 2024.07.30
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초록

Motivated by the previously reported results, this work attempts to provide fresh refinements to both vector and numerical radius inequalities by providing a refinement to the well known Buzano's inequality which as a consequence yielded another refinement of the Cauchy-Schwartz (CS) inequality. Utilizing the new refinements of the Buzano's and Cauchy-Schwartz inequalities, we proceed to obtain various vector and numerical radius type inequalities. Methods used in the paper are standard for the operator theory inequality topics.

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과제정보

The authors would like to thank the Editor-in-Chief and the anonymous reviewers for their insightful suggestions and careful reading of the manuscript.

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