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Bohr’s inequality in n-inner product spaces (CROSBI ID 196843)
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Cheung, W.-S. ; Cho, Y.J. ; Pečarić, Josip ; Zhao D.D
Bohr’s inequality in n-inner product spaces // The pure and applied mathematics, 14 (2007), 2; 127-137
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Cheung, W.-S. ; Cho, Y.J. ; Pečarić, Josip ; Zhao D.D
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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