English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

By discussing two volume formulae for the parallelotope, some refinements of the Hadamard and Cauchy-Schwarz inequalities are given and a class of principal inequalities related a parallelotope is established. This class of principal inequalities have a close relation to the Hadamard and Fischer determinant inequalities. By using the interlacing property, a principal inequality related to two subspaces is given which has a close relation to the Koteljanskii determinant inequality. Analysis indicates that these two principal inequalities can be extended to two class of principal inequalities easily. Mathematics subject classification (2010): 51M16, 51M20.

Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles