Sentence examples similar to bounds for the functional from inspiring English sources

In the present paper, the upper bounds for the -functional on the unit sphere are estimated with spherical harmonics approximation.

Using the uncertainty principle we prove various rigorous lower bounds on the functional; these lower bounds estimate the L2 error for the beam shaping problem in terms of the design parameters.

Global bounds for Jensen's functional were investigated in [7].

A popular and fairly inexpensive approach to determining upper and lower bounds for such functionals is based on first carrying out a few steps of the Lanczos procedure applied to A with initial vector u, and then evaluating pairs of Gauss and Gauss Radau quadrature rules associated with the tridiagonal matrix determined by the Lanczos procedure.

The bounds for the energy norm of the error are used to produce upper and lower bounds of linear functional outputs, representing quantities of engineering interest.

Further we give the bounds for the identities related to the generalization of the refinement of Jensen's inequality using inequalities for the Cebyšev functional.

We have bounds for the uncertainty.

I derive joint bounds for the two.

For any (lambdain[delta,1]), each bounded ((PS)) sequence of the functional (varphi_{lambda}) admits a convergent subsequence.

For any (lambdain J), each bounded (PS) sequence of the functional (I_{q,lambda}^{T}) admits a convergent subsequence.

For any (muin[frac{1}{2},1]) and (a>2^{m+1}(frac{m+3}{m+1})lambda T^{pm}), each bounded (PS) sequence of the functional (I^{T}_{mu}) admits a convergent subsequence.