Sentence examples for this kind of functions from inspiring English sources

The composition theorem has been proved for this kind of functions.

Then we establish Berwald-type inequalities for the Sugeno integral based on this kind of functions.

Moreover, we present a result on the equality of two spaces of this kind of functions, which extends the well-known results to the case when the measures of the spaces are not equivalent.

We notice that many applications of μ-pseudo almost automorphic (periodic) functions (abbr. μ-paa (μ-pap) functions) are based on the uniqueness of their decompositions, and this relies on the translation invariance of this kind of functions.

This kind of functions have attracted much attention because they are useful to express a great family of contractivity conditions that were well known in the field of fixed point theory.

We point out that for this kind of functions, m ( x ) = n ( x ) = K min ( x, e − x 2 / 2 ), the Muckenhoupt's criterion for Poincare's inequality or their variants in [32, 33] cannot be used, since 1 / n ( x ) is not integrable at zero.

This kind of function is omnipresent in the mathematical modeling of biological or chemical processes.

4.5 - 5.5 Negative/Problem I would not use this kind of function.

end{aligned} We are going to recover the already known picture for this kind of function.

Thus, for this kind of function, we have that I λ m, δ m ( u, v ) ≤ I 0, 0 ( u, v ).

Using this kind of function and a dimensional analysis the authors propose a new analytic formula to calculate the losses in the case of incomplete penetration of current.