Sentence examples for intermediate derivatives from inspiring English sources

Because the operators of the intermediate derivatives (237).

then, from the theorem on intermediate derivatives [3 5], and from (2.16), we get (217).

The theorem on intermediate derivatives [3 5] can be used to obtain the last inequality, with the inequality (213).

An interesting fact concerning the two cases α = 0, 1 of (40) is that when looking for bounds on intermediate derivatives, potentials can be replaced by maximal operators.

Consider the following subspaces of W 2 3 ( R + ; H ) : By the theorem on intermediate derivatives, both of these spaces are complete [3].

Mirzoev [16] was the first who paid detailed attention to such relation (for more details about the calculation of the norms of intermediate derivatives operators, see [17]).

Besides, the estimates for the norms of intermediate derivative operators in a Sobolev-type space are obtained, and their close relationship with the solvability conditions is established.

Note that the method offered in [23, 36] and later developed in [31] to calculate the exact values of the norms of intermediate derivative operators is not directly applicable in our case.

To achieve this purpose, we use the estimates for the norms of intermediate derivative operators by the norm of an operator generated by the principal part of the considered equation and the given boundary conditions.

These findings are in agreement with the observed disappearance of intact prodrug and concomitant appearance of the corresponding phosphoramidate intermediate derivative in CEM cell extracts without measurable formation of araU monophosphate.

Specifically, we focus on inequalities between the uniform norms of the function and its derivatives; the uniform norms of the function and its intermediate derivative and the norm of its higher-order derivative in the ideal lattice; the norms of the function and its derivatives in the ideal lattice.