Sentence examples for mentioned functions from inspiring English sources

At this point, the whole tool environment provides an advanced system to ensure mentioned functions.

Herein, without loss of generality, we assume that the mentioned functions are convex functions.

Now, let us deal with the above mentioned functions u s.

Accordingly, in this article we cover all the previous mentioned functions.

We start proving, by means of the above mentioned functions u s, the estimate in (1.6) that leads also to the uniqueness at once.

The class of functions contains the B-splines (B_{N}), (Nge2), and certain 'continuous and compactly supported variants' of the mentioned functions g, h and other classical functions.

Further properties of above mentioned function spaces can be found in [5, 10], and [11].

The above mentioned function seeks more efficient supplier selection for each part creating competition between suppliers.

Motivated essentially by the above mentioned function classes MK and K s , we now introduce a new class M K ( k ) of meromorphic functions.

In Tables 4 and 5, we list all of the mentioned function models with their corresponding best-performed parameters and their detection rate for BDCT and DWT domains.

Indeed, the above mentioned function classes are generalizations of the general meromorphic starlike, meromorphic convex, meromorphic close-to-convex and meromorphic quasi-convex functions in analytic function theory (see, for details, [3 12]).