Some integral inequalities for operator monotonic functions on Hilbert spaces

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,

Keywords

• operator monotonic functions
• integral inequalities
• čebyšev inequality
• grüss inequality
• ostrowski inequality
• 47a63
• 26d15
• 26d10