Related papers: On Pecaric's Inequality in Inner Product Spaces

New results related to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

We consider inequalities of Bombieri type for polynomials that need not be homogeneous, using the apolar inner product.

Some inequalities in 2-inner product spaces generalizing Bessel's result that are similar to the Boas-Bellman inequality from inner product spaces, are given. Applications for determinantal integral inequalities are also provided.

A new inequality between angles in inner product spaces is formulated and proved. It leads directly to a concise statement and proof of the generalized Wielandt inequality, including a simple description of all cases of equality. As a…

Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper.The results obtained here complement the recent work of the references.

Some new reverses for the generalised triangle inequality in inner product spaces and applications are given. Applications in connection to the Schwarz inequality are provided as well.

Some new Gruss type inequalities in inner product spaces and applications for integrals are given.

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

Some sharp quadratic reverses for the generalised triangle inequality in inner product spaces and applications are given.

In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.

A generalisation of the Cassels and Greub-Reinboldt inequalities in complex or real inner product spaces and applications for isotonic linear functionals, integrals and sequences are provided.

Refining some results of S. S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.

Some reverses for the generalised triangle inequality in complex inner product spaces that improve the classical Diaz-Metcalf results and applications are given.

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

We present a general refinement of the Cauchy-Schwarz inequality over complete inner product spaces and show that it can be of interest for some statistical applications. This generalizes and simplifies previous results on the same subject.

The main aim of this monograph is to survey some recent results obtained by the author related to reverses of the Schwarz, triangle and Bessel inequalities. Some Gruss' type inequalities for orthonormal families of vectors in real or…

In this paper, we introduce the concept of inner product on weak hypervector spaces and prove some results about them.