Results & Lemmas (2)
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THEOREM 1.
THEOREM 1. The identities u(B) = s B) and U[G(K)) = S[G(K)) hold. Next we investigate the lower bounds of c B) and c[p K)).
THEOREM 1. The identities u(B) = s{B) and U[G(K)) = S[G(K)) hold. Next we investigate the lower bounds of c{B) and c[p{K)) .
THEOREM 2.
THEOREM 2. Let r = 0.090... be the root in (0, l) of the equation 2(l-r) - [l+kr+r ) = 0, and let r be the root in (0, l) of the equation…
THEOREM 2. Let r = 0.090 ... be the root in (0, l) of the equation 2(l-r) - [l+kr+r ) = 0 , and let r be the root in (0, l) of the equation [l+K~ j(l-r) - (l+r) = 0 . Then o{B) > r and o[G(K)) > r3 . We note that (2-V3)r = 0.0k ... < r and (2-V/§')r < r . The latter inequality needs a proof. 2. Proofs We shall make use of the following lemma due to Alexander and Remak; see 14, Theorem l] and [2, Theorem 3]. 00 LEMMA AR. If h{z) = z + £ b zn is a member of N and if n=2 n
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