Matrix Hölder inequalities and numerical radius applications.

In this paper, we present some weighted Hölder-type inequalities for N −tuple of n × n complex matrices, with applications that include refined bounds for the norm of the sum of two matrices, the numerical radius of a matrix and the numerical radius for the product of two matrices. The relation with the existing literature will be discussed, where some results are proven to be improvements of celebrated results in the literature. Further, numerical examples are given to support the significance of other results. [ABSTRACT FROM AUTHOR]