We give some new refinements and reverses of Young inequalities in both additive and multiplicative-type for two positive numbers/operators. We show our advantages by comparing with known results. A few applications are also given. Some results relevant to the Heron mean are also considered.
"Some refinements of classical inequalities." Rocky Mountain J. Math. 48 (7) 2289 - 2309, 2018. https://doi.org/10.1216/RMJ-2018-48-7-2289