Sentence examples for in best approximation from inspiring English sources
Singh [11], Sahab et al. [12], and Jungck and Sessa [13] proved similar results in best approximation theory.
In 1995, Jungck and Sessa [117] proved the following theorem in best approximation theory, which improves and extends several theorems summarized in Theorem 3.10.
Since the appearance of Meinardus' result in best approximation theory, several authors have obtained best approximation results for single-valued maps as an application of fixed point and common fixed point results.
We mention in passing that best proximity point theory is closely related to the following classical result in best approximation theory, due to Kay Fan [10], and its developments in other directions; see for instance Prolla [11], Sehgal and Singh [12, 13] and the references therein.
If (d(a_{0}, Ta_{0})) is the global minimum value of (operatorname{dist}(A,B)), i.e., (d(a_{0}, Ta_{0}) = operatorname{dist}(A,B) = minlbrace d a, b) : a in A, bin Brbrace), then (a_{0}) is called best proximity point of T. In 1969, Fan [1] proved one of the most classical theorems in best approximation theory.
He tried painting over it in his best approximation of an "expressionist-psychedelic" style, but when he turned off the projector the result was "horrific".
No, wait, everything is OK, because as Ashcroft assures us, in his best approximation of a New York drawl, "She got all I need, the air I breathe".
In between dishing out smokes, Woodbine Willie wrote a lot of poetry, much of it in his best approximation of the soldiers' homely English.
In fact, best approximation theorems and best proximity point theorems are suitable to be explored in this direction.
For applications of fixed point results of nonlinear mappings in simultaneous best approximation theory and variational inequalities, we refer the reader to [19 21].
In this table, we have obtained the storage costs for both b = 8 and b = 16, and the number of iterations for EPWT and tensor product wavelet transform are considered L = 9 and L = 5, respectively, which usually results in the best approximation scenario for the phantom image.
