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2k-inner products in real linear spaces

Crâşmăreanu M., Dragomir S. S.

Demonstratio Mathematica

2002

Vol. 35, nr 3

645-656

The notion of 2k-inner product is introduced as a generalization of usual inner product and Q-inner product ([4]-[8]). As a consequence, is denned the notion of 2k-normed space and some properties, e.g. uniformly convexity, Gateaux differentiability and Riesz property of the dual, are given.

Some inequalities in 2-inner product spaces

Cho Y., Dragomir S., White A., Kim S.

Demonstratio Mathematica

1999

Vol. 32, nr 3

485-493

In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aćzel's inequality in inner product spaces to 2-inner product spaces.

Heron's formula in inner product spaces

White A., Cho Y., Kim S.

Demonstratio Mathematica

1998

Vol. 31, nr 1

97-102

In this paper, we given Heron's formula in inner product spa