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BOHR’S INEQUALITIES IN n-INNER PRODUCT SPACES

조열제|W. S. Cheung|J. Peˇcari´c|D. D. Zhao
한국수학교육학회|2007.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제2호|pp. 127-137

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주제분류수학

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Abstract

The classical Bohr's inequality states that |z + w|2 ≤p|z|2 + q|w|2 for all z,w∈C and all p,q > 1 with 1/p +1/q = 1. In this paper, Bohr's inequality is generalized to the setting of n-inner product spaces for all positive conjugate expo-nents p,q∈R. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained.

참고문헌 (7)

  1. "Bohr’s Inequalities for Hilbert Space Operators toapear in J"
  2. "BOHR’S INEQUALITIES IN n-INER PRODUCT SPACES 137", mitri(vi´c) (1970), Springer-Verlag
  3. "A Renement of Jensen Inequality and Aplications", pp.15~19 (1989), Studia Univ
  4. "Some Remarks on the Paper", pp.39~42, Facta Univ
  5. "Variations and Generalizations of Bohr’s Inequality", pp.138~146
  6. "A Generalization of a Triangle-like Inequality due to H" (1985)
  7. "On Characterizations of Iner Product Spaces and Generalizationsof the H in Topics in Mathematical Analysis" (1989)

관련 논문AI추천

Inequalities of Hlawka's Type in $n$-inner Product spacesJ. Pe\v cari\'c, M. Mati\, Y. J. Cho대한수학회 · 대한수학회논문집2002 · 제17권 제4호A counterpart of Bessel’s inequality in inner product spaces and some gr\＂uss type related resultsSever S. Dragomir대한수학회 · 대한수학회보2006 · 제43권 제1호ON THE PARALLELOGRAM LAW AND BOHR'S INEQUALITY IN G-INNER PRODUCT SPACES조열제, Josip Pecaric, Vera Culjak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications김영호, 조열제, Seong Sik Kim, Sever Silverstru Dragomir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호On Gram's determinant in $n$-inner product spaces조열제, Josip Pevcaric, Marko Matic대한수학회 · 대한수학회보2004 · 제41권 제4호Some New Results Related to Bessel and Gr＂{u}ss Inequalities in 2-Inner Product Spaces and ApplicationsS.S. Dragomir대한수학회 · 대한수학회보2005 · 제42권 제3호

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