Sentence examples similar to second-best approximation from inspiring English sources
In the first best approximation theorem, we establish a sequence { x n } which converges strongly to the unique best approximation point; while in the second best approximation theorem, we obtain the existence of a minimum best approximation point and a maximum best approximation point in order intervals.
Proof The first estimate follows by the best approximation property of f E. The proof of the second estimate is found e.g. in [33, Lemma 4] and relies on certain inverse-type estimates as well as on the fact that newest vertex bisection only leads to finitely many shapes of triangles.
The theory used is the dynamic, shear deformable (moderately thick shell) analog of the Sanders best first approximation thin shell theory.
Variation of this parameter permits to obtain the best approximation to the measurand from the very first moments of measurement.
We have assumed that in the case of the B. burgdorferi genome the best approximation of such sequences is the composition of the third positions of codons of ORFs, as has been argued in the Introduction section.
In the following we will bound the best approximation error appearing in Theorem 1 for edge functions of the first kind.
Further, best approximation results in the setting of cone metric space were for the first time considered by Rezapour [35] (see also [36]).
At the first step, the problem of determining the numerical representation (a i ) of a given decomposition basis with the best approximation to the analyzed curve is solved.
