Abstract
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1]. In this paper we obtained, among others, that for A ≤ B and f an operator monotonic function on I,
in the operator order.
Several other similar inequalities for either p or f is differentiable, are also provided. Applications for power function and logarithm are given as well.
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© 2020 Silvestru Sever Dragomir, published by De Gruyter
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