Sentence examples for the above estimates from inspiring English sources

Combining the above estimates gives the result.

Using the above estimates, we get (4.26).

From the above estimates, we obtain (3.14).

Using the above estimates we obtain (3.23).

Combining this with the above estimates, Lemma 3.16 follows.

From the above estimates and from (44), we deduce (47).

Especially, from the above estimates we can see (3.43) for.

Now combining all the above estimates, we end the proof.

Using the above estimates, we obtain, and (3.6).

The above estimates imply y ∈ C r + 1 [ 0, 1 ].

From the above estimates we can complete our proof.