A note on the Young type inequalities
Authors
Abstract:
In this paper, we present some refinements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace norm. The results obtained in this paper can be viewed as refinement of the derived results by H. Kai [Young type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12--17].
similar resources
Note on Hilbert-type inequalities
The main objective of this paper is to prove Hilbert-type and Hardy-Hilbert-type inequalities with a general homogeneous kernel, thus generalizing a result obtained in [Namita Das and Srinibas Sahoo, A generalization of multiple Hardy-Hilbert’s integral inequality, Journal of Mathematical Inequalities, 3(1), (2009), 139–154].
full textA Note on Hardy-type Inequalities
We use a theorem of Cartlidge and the technique of Redheffer’s ”recurrent inequalities” to give some results on inequalities related to Hardy’s inequality.
full textA Note on Aczél Type Inequalities
The main result here is a simple general-purpose numerical inequality that can be used to produce a variety of Aczél type inequalities with little effort.
full textA note on Minty type vector variational inequalities
The existence of solutions to a scalar Minty variational inequality of differential type is usually related to monotonicity property of the primitive function. On the other hand, solutions of the variational inequality are global minimizers for the primitive function. The present paper generalizes these results to vector variational inequalities putting the Increasing Along Rays (IAR) property ...
full textA note on Bernstein and Markov type inequalities
Let D be the unit disk in the complex plane C . We prove that for any polynomial p of degree at most n max z ∈ D ∣∣∣p(z) − p(z̄) z − z̄ ∣∣∣ n max 0 j n ∣∣∣∣∣ p ( eij /n ) + p ( e−ij /n )
full textA note on inequalities for Tsallis relative operator entropy
In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, {em Math. Inequal. Appl.} {18} (2015), no. 2, 401--406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...
full textMy Resources
Journal title
volume 8 issue 1
pages 261- 267
publication date 2017-06-11
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023