Heron's Formula in Inner Product Spaces

Abstract

Abstract. In this paper, we give Heron's formula in inner product spaces and some properties of this formula. Also, we define a 2-inner product in terms of Heron's formula.The classical Heron's formula says that, for a triangle having sides of the length a, b, c and the area K, the relation

Superadditivity and Monotonicity of Gram's Determinants in 2-Inner Product Spaces and Their Applications

“…For further details on 2-inner product spaces and linear 2-normed spaces, see ([3]- [5], [10], [16]- [17]). …”