Sentence examples for norm version from inspiring English sources

New ingredients in our proof include an integration of Timorin's mixed Hodge Riemann bilinear relation and a mixed norm version of Hörmander's L2-estimate, which also implies a non-compact version of the Khovanskiĭ Teissier inequality.

In this paper, we present its matrix Euclidean norm version.

Our goal is to present its matrix Euclidean norm version.

To the best of our knowledge, there has not been any matrix Euclidean norm version of Kantorovich inequality yet.

We define the efficiencies between OLSE and BLUE by means of the matrix Euclidean norm and prove a matrix Euclidean norm version of the Kantorovich inequality to limit upper or lower bounds of these efficiencies.

Missing data were imputed with multiple imputation procedures using NORM, version 2, software (32).

In Section 2, we present a matrix spectral norm versions of the Wielandt inequality.

In this article, we use several new matrix norm versions of the Kantorovich inequality involving a nonnegative definite matrix to make the comparison of efficiencies between OLSE and BLUE in a singular linear model.

In this paper, our goal is to make the comparison of efficiencies between OLSE and BLUE in a singular linear model by using matrix norm versions of the Kantorovich inequality involving a nonnegative definite matrix.

One of the most frequently used tools for proving the existence of positive solutions to the integral equations and boundary value problems is the Krasnoselskii theorem on cone expansion and compression and its norm-type version due to Guo and Lakshmikantham [20].

To this end, in [6] the authors gave an estimate for the upper bound of the Hölder norm a fractal version of the Hilbert transform for domains with d-summable boundary; a geometric notion introduced in [7], which is essential for integration of a form over a fractal boundary.