On the generalized mixed Schwarz inequality
Mohammad W. Alomari
TL;DR
This paper extends the generalized mixed Schwarz inequality, introduces a new version combining Cartesian and Polar decompositions, and derives related numerical radius inequalities.
Contribution
It presents a novel extension of the generalized mixed Schwarz inequality and merges operator decompositions to establish new inequalities.
Findings
Extended the generalized mixed Schwarz inequality.
Established a companion inequality using operator decompositions.
Proved new numerical radius inequalities.
Abstract
In this work, an extension of the generalized mixed Schwarz inequality is proved. A companion of the generalized mixed Schwarz inequality is established by merging both Cartesian and Polar decompositions of operators. Based on that some numerical radius inequalities are proved.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results