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Further refinements of generalized numerical radius inequalities for Hilbert space operators

Monire Hajmohamadi, Rahmatollah Lashkaripour and Mojtaba Bakherad


In this paper, we show some refinements of generalized numerical radius inequalities involving the Young and Heinz inequality. In particular, we present


where Ti,Ai,Bi𝔹()(1in), f and g are nonnegative continuous functions on [0,) satisfying f(t)g(t)=t for all t[0,), p,r1, N, and


MSC 2010: 47A12; 47A63; 47A30


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Received: 2016-09-29
Accepted: 2018-05-21
Published Online: 2019-05-07
Published in Print: 2021-02-01

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