Inequalities for two power series of noncommutative operators in Hilbert spaces with applications to numerical radius
Let H be a complex Hilbert space.We consider the power series with complex coefficients f (zIn this paper we show among others thatfor all [0,1] and x, y H. Application for norm and numerical radius inequalities for the composite operator D * A f (A)g (B)BC are provided.Some examples for fundamental power series are also given.
Authors
- Mübariz Garayev (ORCID: https://orcid.org/0000-0002-1715-7165)
- Sever S Dragomir (ORCID: https://orcid.org/0000-0003-2902-6805)
Publication Details
- Journal
- Journal of Mathematical Inequalities
- Published
- 2025-01-01
- DOI
- https://doi.org/10.7153/jmi-2025-19-07
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73