engleski

Bohr’s inequality in n-inner product spaces

The classical Bohr's inequality states that |z+w|^2<=p|z|^2+q|w|^2 for all z, w in C and all p, q>1 with 1/p+1/q=1. In this paper, Bohr's inequality is generalized to the setting of n-inner product spaces for all positive conjugate exponents p, q in R. In. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained.

Bohr's inequality; n-inner product space; n-normed linear space

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