Sentence examples for matrix operators of from inspiring English sources

That is to say, the kth non-stochastic and stochastic nucleic acid's bilinear indices are calculated using Mkm and sMkm as matrix operators of bilinear transformations.

In this section, we derive some identities or estimates for the Hausdorff measures of noncompactness of certain matrix operators on the spaces of generalized means.

In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on these spaces that were defined by Ozger and Basar in [16].

In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space (ell_{p}(r,s,t B^{(m)})).

In this paper, we have derived some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space (ell_{p}(r,s,t B^{(m)})).

In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on these spaces that are paranormed spaces.

In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c 0 ( B ) and ℓ ∞ ( B ). Further, by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.

In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c 0 ( B ), ℓ ∞ ( B ) and by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.

In this subsection, we establish some identities or estimates for the Hausdorff measures of noncompactness of certain matrix operators on the spaces c 0 ( B ) and ℓ ∞ ( B ). Further, we apply our results to characterize some classes of compact operators on those spaces.

In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on some new difference sequence spaces (X r,s,t Delta )) where (Xin{l_{infty}, c, c_{0},l_{p}}) ((1leq{p}

In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space (ell_{p}(r,s,t B^{(m)})) which is related to (ell_{p}) spaces.