Sentence examples for proof of this case from inspiring English sources
which ends the proof of this case.
The proof of this case is completed.
(iv) The proof of this case is parallel to (iii).
The proof of this case is parallel to (iii).
The proof of this case is completed by application of Proposition 2.1 ii).
Next, take g ∗=g+ℓ≠g, which has the same moment sequence as g. ii) The proof of this case is similar to that of case (i). iii) If one ϕ j is not odd, then it is done as in (i) (by taking (ell (x)=frac {1}{2}[!phi _{j}(x)+phi _{j} -x ]) and g ∗=g+ℓ).
Also, the rest of the proof for this case is similar to that of Theorem 2.5 in (Jahanshahloo et al. 2004) and is omitted. .
This completes the proof of Case 3. Case 4. Let (1.9) ((r=-1)) and (1.11) hold true.
This completes the proof of the case (a).
This completes the proof of the case n = 2. Now, suppose that lim i → ∞ sup j ≥ 1 ∥ ( T 1 k S n − 1, 1 x i, 1 − S n − 1, 1 T 1 k x i, 1, …, T j k S n − 1, j x i, j − S n − 1, j T j k x i, j ) ∥ j = 0. uniformly for each k ≥ 1.
