An inequality for a simplex and its applications (Q1900034)

From MaRDI portal





scientific article; zbMATH DE number 806228
Language Label Description Also known as
English
An inequality for a simplex and its applications
scientific article; zbMATH DE number 806228

    Statements

    An inequality for a simplex and its applications (English)
    0 references
    0 references
    12 December 1995
    0 references
    With the stated aim of improving an inequality of \textit{M. S. Klamkin} [SIAM Rev. 27, 576 (1985)], the author proves another inequality for a simplex in \(n\)-dimensional Euclidean space, which has as corollaries several improved versions of Klamkin's inequality. The author fails to mention that all the corollaries to his main inequality (Theorem 1) had already appeared in print, in his paper in Northeast. Math. J. 7, No. 4, 424-427 (1991; Zbl 0767.51014), so that only Theorem 1 is new.
    0 references
    \(n\)-dimensional Euclidean space
    0 references
    inequality
    0 references
    simplex
    0 references
    Klamkin's inequality
    0 references

    Identifiers