Sentence examples for integral norm from inspiring English sources

Nevertheless, if X is also Asplund, we prove that every integral k-homogeneous polynomial in X has a unique extension to Y that preserves the integral norm.

The optimal semiactive control strategy minimizes an integral norm of the main structure squared absolute accelerations subject to the constraint that the non-linear equations of motion are satisfied and is determined through a numerical solution to the Euler Lagrange equations.

Numerical tests of the projection alone confirm the analysis and show that this error is concentrated near the embedded boundaries, leading to higher-order accuracy in integral norms.

The performance index used to evaluate the appropriateness of the design is defined as the sum of two square integral norms, which represent reducing the saturated zone and minimizing material costs.

The length of any curve is defined by an integral over norms of tangents [17].

By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of -degree.

We first define a new kind of two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm for Green's operator applied to differential forms.

Child marriage and FGM are underpinned by a range of triggers from poverty to codes of honour and unquestioned norms integral to community identity.

Meanwhile, due to the Duhamel's integral, the operator norms of (G^pm ) and (bar{G}^pm ) from (mathscr {L}^2(Pi ^pm _T)) to (mathscr {L}^2(Pi ^pm _T)) do not exceed (Ch^{-1}T) and therefore each next term in the successive approximations (2.15) acquires an extra factor (Ch^{-1}T^2= O(h^delta )) as long as (Tle h^{frac{1}{2}(1+deltand}) and the remainder term is (O(h^s)) if N is large enough.

In this paper, we study the norm of integral operator I f.

Recently, Liu and Xiong discussed the norm of integral operators I f and J f on the Bloch space, Dirichlet space, BMOA space and so on in [35].