Equivalency of Cauchy-Schwarz and Bessel inequalities

DOI10.1007/S00283-012-9317-9zbMath1273.26032OpenAlexW2005883940MaRDI QIDQ1935351

Jamal Rooin, Morteza Bayat

Publication date: 15 February 2013

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-012-9317-9

zbMATH Keywords

Cauchy-Schwarz inequalityBessel's inequalityprojections in inner product spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Other analytical inequalities (26D20)

Cites Work

• The AM-GM inequality and CBS inequality are equivalent
• Equivalence of the Hölder-Rogers and Minkowski Inequalities
• Why Hölder's inequality should be called Rogers' inequality

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