Motivated by the previously reported results, this work attempts to provide fresh refinements to both vector and numerical radius inequalities by providing a refinement to the well known Buzano’s inequalitywhich as a consequence yielded another refinement of the Cauchy-Schwartz(CS) inequality. Utilizing the new refinements of the Buzano’s and CauchySchwartz inequalities, we proceed to obtain various vector and numericalradius type inequalities. Methods used in the paper are standard for theoperator theory inequality topics.

link: https://japm.or.kr/out/08010224406587184.pdf

Authors:
Vuk Stojiljkovic

Mehmet Gurdal