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Grüss type and related integral inequalities in probability spaces

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In this paper we study Grüss type inequalities for real and complex valued functions in probability spaces. Some earlier Grüss type inequalities are extended and refined. Our approach leads to new integral inequalities which are interesting in their own right. As an application, we give a Grüss type inequality for normal operators in a Hilbert space. Similar results are obtained only for self-adjoint operators in earlier papers.

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The research of the author has been supported by Hungarian National Foundations for Scientific Research Grant No. K120186.

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Correspondence to László Horváth.

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Horváth, L. Grüss type and related integral inequalities in probability spaces. Aequat. Math. 93, 743–756 (2019).

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