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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Nicuşor Minculete & Hamid Reza Moradi, 2020. "Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product," Mathematics, MDPI, vol. 8(12), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2112-:d:451323
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    Cited by:

    1. Augusta Raţiu & Nicuşor Minculete, 2022. "On Several Bounds for Types of Angular Distances," Mathematics, MDPI, vol. 10(18), pages 1-10, September.

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