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ON THE PARALLELOGRAM LAW AND BOHR'S INEQUALITY IN G-INNER PRODUCT SPACES

조열제|Josip Pecaric|Vera Culjak
한국수학교육학회|2009.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제1호|pp. 47-57

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참고문헌

키워드

G-inner product spacethe parallelogram lawBohr's inequality.
주제분류수학

초록

In this paper, we give some results which are in connection to the parallelogram law in G-inner product spaces and also prove some results related to Bohr's inequality in G-inner product spaces.

Abstract

In this paper, we give some results which are in connection to the parallelogram law in G-inner product spaces and also prove some results related to Bohr's inequality in G-inner product spaces.

참고문헌 (16)

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  8. H. Bohr, "Zur Theorie der fastperiodischen Funktionen I", Acta Math, 45, pp.29~127 (1924)
  9. J.E. Pe·cari c, "Some remarks on the paper \Sur une in egalit e de la norm" of D. Dellbosco. Facta Univ. (Ni·s)", Ser. Math. Inform, 3, pp.39~42 (1988)
  10. J.E. Pe·cari c, "Variations and generalizations of Bohr's inequality", J. Math. Anal. Appl, 178, pp.138~146 (1993)
  11. Th.M. Rassias, "On characteraziations of inner product spaces and generalizations of zhe H. Bohr inequality. in: \Topics in Mathematical Analysis" (1989), Singapore
  12. D. Delbosco, "Sur une in egalit e de la norm", Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz, (678), pp.206~208 (1980)
  13. V.L. Koci c, "Variations and generalizations of an inequality due to Bohr", Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz, (412), pp.183~188 (1973)
  14. J.E. Pe·cari c, "A re¯nement of Jensen inequality and applications. Babes-Bolyai", Mathematica, 34, pp.15~19 (1989)
  15. H. BergstrÄom, "A triangle-inequality for matrices", 264~267 (1952), Den 11-te Skandinaviske Mathematik- erkongress. Trondheim 1949, Oslo
  16. Y.J. Cho, "Inequalities of Hlawka's type in G-inner product spaces. Inequality Theory and Applications, Vol. 1" (2001), Nova Science Publishers, Inc

관련 논문AI추천

CHARACTERIZATIONS OF AN INNER PRODUCT SPACE BY GRAPHSC.-S. Lin한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호BOHR’S INEQUALITIES IN n-INNER PRODUCT SPACES조열제, D. D. Zhao, J. Peˇcari´c, W. S. Cheung한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호On 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 제2호Inequalities of Hlawka's Type in $n$-inner Product spacesJ. Pe\v cari\'c, M. Mati\, Y. J. Cho대한수학회 · 대한수학회논문집2002 · 제17권 제4호Some New Results Related to Bessel and Gr＂{u}ss Inequalities in 2-Inner Product Spaces and ApplicationsS.S. Dragomir대한수학회 · 대한수학회보2005 · 제42권 제3호SOME RESULTS ON APPROXIMATION IN 2-BANACH SPACESAÇIKGÖZ, M, ARACI, S, ASLAN, N, KARAKU¸S, Y장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호

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