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Generalized Cauchy–Bunyakovsky–Schwarz Inequalities and Their Applications

  • Mahta Hosseini,
  • Rahele Nuraei,
  • Mohsen Shah Hosseini

摘要

Abstract

In this article, we present generalized improvements of certain Cauchy–Bunyakovsky–Schwarz type inequalities. As applications of our results, we provide improvements of some numerical radius inequalities for Hilbert space operators. Finally, we obtain certain numerical radii of Hilbert space operators involving geometrically convex functions.