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A potpourri of Schwarz related inequalities in inner product spaces. I. (English) Zbl 1095.46018
Summary: We obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.

MSC:
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
26D15 Inequalities for sums, series and integrals
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