A series of refinements on the Young and reverse Young inequalities through a recursive algorithm

In this article, we present a recursive algorithm to obtain a series of refinements of the classical Young inequality. These inequalities approach to equalities when the number of the iteration in the recursive algorithm tends to infinity.Also these refinements applied to establish some improved reverse Young and matrix Young inequalities with Hilbert- Schmidt norm.

کلیدواژه ها:

reverse ، Young inequality ، Semidefinite positive matrix ، Hilbert- Schmidt norm