논문KCI 등재
On Gram's determinant in $n$-inner product spaces
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Abstract
An analogue of the Gram's inequality for n-innerproduct spaces is given. Further, a number of inequalitiesinvolving Gram's determinant are stated and proved in terms ofn-inner products.
참고문헌 (2)
- "paper Theory of $2$-Inner Product Spaces" (2001), jour Nova Science Publishers, Inc
- "J. E. Pe\v{c}ari\'{c} and A. M. Fink\book Classical and New Inequalities in Analysis\publ Kluwer Academic Publishers", d. s. mitri(vi\'{c})
관련 논문AI추천
Inequalities of Hlawka's Type in $n$-inner Product spacesJ. Pe\v cari\'c, M. Mati\, Y. J. Cho대한수학회 · 대한수학회논문집2002 · 제17권 제4호Some companions of Gr\"{u}ssinequality in $2$-inner product spaces andapplications for determinantal integral inequalities김성식, 조열제, R.W. Freese, S.S. Dragomir대한수학회 · 대한수학회논문집2005 · 제20권 제3호A counterpart of Bessel’s inequality in inner product spaces and some gr\"uss type related resultsSever S. Dragomir대한수학회 · 대한수학회보2006 · 제43권 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 제2호BOHR’S INEQUALITIES IN n-INNER PRODUCT SPACES조열제, D. D. Zhao, J. Peˇcari´c, W. S. Cheung한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호Best approximations and orthogonalities in $2k$-inner product김성식, Mircea Crasmareanu대한수학회 · 대한수학회보2006 · 제43권 제2호
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