Multiple-term refinements of Alzer-Fonseca-Kovačec inequalities. (English) Zbl 1505.15016

Ighachane, Mohamed Amine

Rocky Mt. J. Math. 52, No. 6, 2053-2070 (2022).

Summary: By the weighted arithmetic-geometric mean inequality we present multiple-term refinements of one of the most important extensions to Young’s inequalities due to H. Alzer et al. [Linear Multilinear Algebra 63, No. 3, 622–635 (2015; Zbl 1316.15023)]. As applications, we give some related inequalities for operators and matrices.

MSC:

15A45	Miscellaneous inequalities involving matrices
15A60	Norms of matrices, numerical range, applications of functional analysis to matrix theory
26D07	Inequalities involving other types of functions
47A63	Linear operator inequalities

Keywords:

Alzer-Fonseca-Kovačec inequalities; AM-GM inequality; Young inequality; operator inequalities; determinants; traces; norms

Citations:

Zbl 1316.15023

References:

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