Abstract:
Motivated by the results previously reported, the current work aims at developing new numerical radius upper bounds of Hilbert space opera- tors by offering new improvements to the well-known Cauchy-Schwarz inequal- ity. In particular, a novel Lemma (3.1) is given, which is utilized to further generalize several vector and numerical radius type inequalities, as well as pre- viously given extensions of the Cauchy-Schwartz inequality. Specifically, (2.5) (2.8) (1.6) have been generalized by (4.3) (4.1) (4.2)

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‍Faculty of Sciences, University of Novi Sad, Serbia

Authors:

Vuk Stojiljkovic

Sever Silvestru Dragomir

‍Mathematics, College of Sport Health and Engineering, Victoria University Melbourne City, Australia

url: https://annalsmcs.org/index.php/amcs/article/view/246
DOI: https://doi.org/10.56947/amcs.v21.246

Keywords: Numerical radius, Norm, Inequalities

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