Sentence examples for using the exponential convexity from inspiring English sources

Our aim is to find an upper bound for f by using the exponential convexity of ψ ( t ), and according to Lemma 3.1.

In the same way, [ v ] i + α ¯ [ d x ] i > 1 σ log p, for all i ∈ I. Hence we can use the exponential convexity of ψ ( t ).

The exponential function is available in bipolar technology using the exponential characteristic of the bipolar transistor.

Then, by using Proposition 1.4, we get the exponential convexity of the function.

The following proposition is useful to prove the exponential convexity.

By using Poposition 2.2 and (a), we get the exponential convexity of the function.

These results can easily be proved using (1.10) and some facts as regards the exponential convexity.

In this paper we prove the exponential convexity of (1.43) for convex functions defined in (1.46) and (1.47) and mean value theorems for the differences given in (1.43).

Following the same steps as above and having H (u) = h u), we have the exponential convexity of the P 5 ( f t ) by using Remark 2.2.

We investigate the exponential convexity and logarithmic convexity for majorization type results by using class of continuous functions in linear functionals.

In this section we shall define the exponential convexity of an operator.