Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 11 2 2020 12 01 A series of refinements on the Young and reverse Young inequalities through a recursive algorithm 317 328 4487 10.22075/ijnaa.2019.13486.1702 EN Somayeh Saiedinezhad Assistant professor of Iran University of Science and technology Journal Article 2017 12 27 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.<br />Also these refinements applied to establish some improved reverse Young and matrix Young inequalities with Hilbert- Schmidt norm. https://ijnaa.semnan.ac.ir/article_4487_a2d61320b8131c62bb23d40183bfdf22.pdf