Sentence examples for a converse of from inspiring English sources

We prove a converse of Yano's extrapolation theorem for translation invariant operators.

As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.

The main result of this paper gives a converse of inequality (1.2).

We see that the first inequality of Corollary 1.3 may be actually regarded as a converse of the previous inequality.

The above inequality is sharp if, but it is not in spirit of a converse of Minkowski's type inequality.

The following consequence of Theorem 1.1 for and can be viewed as a converse of Minkowski's inequality (1.1).

We formulate and prove a converse for a generalization of the classical Minkowski's inequality.

Here, we saw a reduction of Treg numbers, coupled with a converse increase of Th17 cells in the PB of MBC patients receiving trastuzumab therapy.

We now show a converse result of Theorem 3.2, which will use the following lemmas.

A physiologic role for miR-940 was suggested by its common downregulation in NPC tissues, whereas Nestin showed a converse pattern of upregulation.

This is an approximate converse of a perturbation theorem for this class of semigroups.