Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product

Nicuşor Minculete and Hamid Reza Moradi
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Nicuşor Minculete: Department of Mathematics and Computer Science, Transilvania University of Braşov, 500091 Braşov, Romania
Hamid Reza Moradi: Department of Mathematics, Payame Noor University (PNU), Tehran P.O. Box 19395-4697, Iran

Mathematics, 2020, vol. 8, issue 12, 1-13

Abstract: The aim of this article is to establish several estimates of the triangle inequality in a normed space over the field of real numbers. We obtain some improvements of the Cauchy–Schwarz inequality, which is improved by using the Tapia semi-inner-product. Finally, we obtain some new inequalities for the numerical radius and norm inequalities for Hilbert space operators.

Keywords: inner product space; triangle inequality; Cauchy–Schwarz inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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