Journal of applied mathematics & informatics

  • 제41권6호
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  • Pages.1181-1191
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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STUDY OF YOUNG INEQUALITIES FOR MATRICES

  • M. AL-HAWARI (Department of Mathematics, Faculty of Science, Ajloun National University) ;
  • W. GHARAIBEH (Freelance Researcher not affiliated with any specific institution)
  • 투고 : 2022.08.10
  • 심사 : 2023.08.21
  • 발행 : 2023.11.30
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초록

This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.

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과제정보

We would like to express our heartfelt appreciation to all those who supported and encouraged us throughout this research. Your help has been highly valuable, and it greatly contributed to the success of our work.

참고문헌

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