Let A, B be invertible positive operators on a Hilbert space H. We present some improved reverses of Young type inequalities, in particular, ( 1 − ν ) 2 ν ( A ∇ B ) + ( 1 − ν ) 2 ( 1 − ν ) H 2 ν ( A , B ) ≥ 2 ( 1 − ν ) ( A ♯ B ) $$ (1-u)^{2u}(Aabla B)+(1-u)^{2(1-u)}H_{2u}(A,B) geq2(1-u ) (Asharp B) $$ and ( 1 − ν ) 2 ν H 2 ν ( A , B ) + ( 1 − ν ) 2 ( 1 − ν ) ( A ∇ B ) ≥ 2 ( 1 − ν ) ( A ♯ B ) , $$ (1-u)^{2u}H_{2u}(A,B)+(1-u)^{2(1-u)}(Aabla B) geq2(1-u ) (Asharp B), $$ where
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