Table 1 Error of approximation process for \(\tilde{g}(x)=\sinh x^{2}\)
From: Approximation with Szász-Chlodowsky operators employing general-Appell polynomials
\({\mathcal{E}_{n}}\) | Error bound at | |||||
|---|---|---|---|---|---|---|
x = 0.2 | x = 0.4 | x = 0.6 | x = 0.8 | x = 1.0 | ||
\(b_{n}=n^{\frac{1}{5}}\) | 80 | 0.0226843 | 0.081178 | 0.159339 | 0.259574 | 0.423336 |
90 | 0.0225464 | 0.0786976 | 0.150769 | 0.239849 | 0.386168 | |
100 | 0.0223686 | 0.0762322 | 0.142426 | 0.220774 | 0.350322 | |
\(b_{n}=n^{\frac{1}{10}}\) | 80 | 0.0214987 | 0.0670784 | 0.112372 | 0.152757 | 0.223047 |
90 | 0.0210021 | 0.0626152 | 0.098046 | 0.120594 | 0.163077 | |
100 | 0.0204862 | 0.0582361 | 0.0841233 | 0.0894469 | 0.105094 | |
\(b_{n}=n^{\frac{1}{15}}\) | 80 | 0.00568912 | 0.0404805 | 0.0787168 | 0.101278 | 0.116962 |
90 | 0.00566921 | 0.0382039 | 0.0686854 | 0.0754437 | 0.0649501 | |
100 | 0.00563257 | 0.0359504 | 0.058903 | 0.0503647 | 0.0145585 | |