Some Grüss Type Inequalities in Inner Product Spaces

Grüss Type Discrete Inequalities in Inner Product Spaces, Revisited

Some sharp inequalities of Grüss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.

A Counterpart of Bessel’s Inequality in Inner Product Spaces and Some Grüss Type Related Results

A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Grüss type inequalities are also provided.

Grüss Type Inequalities for Forward Difference of Vectors in Inner Product Spaces

Some Grüss type inequalities for two sequences of vectors in terms of the forward difference are given. An application for the Jensen inequality for convex functions defined on inner product spaces is also pointed out. 2000 Mathematics Subject Classification: 26D15, 47A05, 46A05.

Some Companions of the Grüss Inequality in Inner Product Spaces

Some companions of Grüss inequality in inner product spaces and applications for integrals are given.

Bessel and Grüss Type Inequalities in Inner Product Modules over Banach -Algebras