Some inequalities in inner product spaces related to the generalized triangle inequality

DOI10.1016/j.amc.2011.02.046zbMath1228.46019OpenAlexW2032258975MaRDI QIDQ535435

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 May 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://vuir.vu.edu.au/17758/1/IIPS-Cho.pdf

zbMATH Keywords

normed spacesOstrowski inequalitytriangle inequalityinner product spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities in real analysis (26D99)

Related Items (4)

Applications of Kato's inequality for \(n\)-tuples of operators in Hilbert spaces. I ⋮ Generalized triangle inequality of the second type in quasi normed spaces ⋮ Applications of Kato's inequality for \(n\)-tuples of operators in Hilbert spaces. II ⋮ A note on ``Some inequalities in inner product spaces related to the generalized triangle inequality by S. S. Dragomir et al.

Cites Work

• A Grüss type discrete inequality in inner product spaces and applications
• More on reverse triangle inequality in inner product spaces
• A Complementary Triangle Inequality in Hilbert and Banach Spaces
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