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In this paper we present a new criterion on characterization of real inner product spaces.
Let X be a real inner product space of dimension &cedil; 2. In [2], W. Benz proved the following theorem for x; y 2 X with x < y: "The Lorentz-Minkowski distance between x and y is zero (i.e., l (x;...
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.
Further inequalities related to the Schwarz inequality in real or complex inner product spaces are given.
A Grüss type inequality for sequences of vectors in inner product spaces which complement a recent result from [6] and applications for differentiable convex functions defined on inner product spaces ...
We obtain an identity in real inner product spaces that leads to the Grüss inequality and an inequality of Ostrowski.
Refining some results of S.S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that produce some earlier results are pointed out. They are applied to obtain new Gruss type inequalities. Some natura...
Some new Grüss type inequalities in inner product spaces and applications for integrals are given.
The concept of hypo-Euclidean norm for an n-tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Upper bounds via the Boas-Bellman [1]-[3] and Bombieri [...
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 i...
Some companions of Grüss inequality in inner product spaces and applications for integrals are given.

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