Sentence examples for be a quintic mapping from inspiring English sources

Let be a quintic mapping satisfying (1.3).

for all Hence the mapping is a quintic mapping.

It remains to show that is a quintic map.

Every solution of the quintic or sextic functional equation is said to be a quintic or sextic mapping, respectively.

for all, but there do not exist a quintic mapping and a constant such that for all.

for all Now, we will show that the map is a generalized quintic mapping.

Suppose on the contrary that there exists a quintic mapping and constant such that for all.

Since is a solution of (1.4), we say that it is a quintic functional equation.

for all By taking the definition of implies that satisfies (1.3) for all that is, is the quintic mapping.

for all and the map is contractively subadditive with a constant such that Then there exists a unique quintic mapping which satisfies (1.3) and the inequality (3.16).

for all and the map is expansively superadditive with a constant such that Then there exists a unique quintic mapping which satisfies (1.3) and the inequality (3.24).