Improved estimates for the triangle inequality

DOI10.1186/s13660-016-1281-zzbMath1369.46019OpenAlexW2571612861WikidataQ41779677 ScholiaQ41779677MaRDI QIDQ504561

Radu Păltănea, Nicuşor Minculete

Publication date: 17 January 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1281-z

zbMATH Keywords

triangle inequalityinner product spacesnorm inequalitiesnorm-angular distanceTapia semi-product

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Norm inequalities via convex and log-convex functions ⋮ Generalized triangle inequality of the second type in quasi normed spaces ⋮ On the Cauchy-Schwarz inequality and several inequalities in an inner product space ⋮ Unnamed Item ⋮ Inequalities from Lorentz-Finsler norms ⋮ Some refinements of Ostrowski's inequality and an extension to a 2-inner product space

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