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Some Grüss’ type inequalities in 2-inner product spaces and applications for determinantal integral inequalities. (English) Zbl 1080.26016

The main aim of this paper is to establish some new Grüss type inequalities for both real and complex 2-inner product spaces. Using the natural framework of 2-inner product spaces, some determinantal integral inequalities for synchronous functions are pointed out as well.
Reviewer: Liu Zheng (Anshan)

MSC:

26D15 Inequalities for sums, series and integrals
46C99 Inner product spaces and their generalizations, Hilbert spaces