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Table 8 Numerical results for Example 4

From: Twelfth degree spline with application to quadrature

x Cubic Subbotin spline (Rathod et al. 2010) Our spline (degree 12) Exact
0.08 0.03188137343786 0.03188137201399 0.03188137201399
0.16 0.06355946719297 0.06355946289143 0.06355946289143
0.24 0.09483487811231 0.09483487169780 0.09483487169780
0.32 0.12551584316831 0.12551583472332 0.12551583472332
0.40 0.15542175168553 0.15542174161032 0.15542174161032
0.48 0.18438631483954 0.18438630348378 0.18438630348378
0.56 0.21226029337979 0.21226028115097 0.21226028115097
0.64 0.23891371300311 0.23891370030714 0.23891370030714
0.72 0.26423751498017 0.26423750222075 0.26423750222075
0.80 0.28814461385800 0.28814460141660 0.28814460141660
0.88 0.31057035699849 0.31057034522329 0.31057034522329
0.96 0.33147240333869 0.33147239253316 0.33147239253316
1.04 0.35083005925386 0.35083004966900 0.35083004966902
1.12 0.36864312712815 0.36864311895727 0.36864311895727
1.20 0.38493033640194 0.38493032977830 0.38493032977829
1.28 0.39972743704822 0.39972743204556 0.39972743204556
1.36 0.41308504141739 0.41308503805292 0.41308503805292
1.44 0.42506630222622 0.42506630046567 0.42506630046567
1.52 0.43574451241669 0.43574451218106 0.43574451218106
1.60 0.44520070712697 0.44520070830044 0.44520070830044
1.68 0.45352133969787 0.45352134213630 0.45352134213628
1.76 0.46079609317294 0.46079609671252 0.46079609671252
1.84 0.46711587687507 0.46711588134084 0.46711588134084
1.92 0.47257104508264 0.47257105029616 0.47257105029616
2.00 0.47724986226558 0.47724986805180 0.47724986805182
2.08 0.48123722737203 0.48123723356506 0.48123723356506
2.16 0.48461365876857 0.48461366521607 0.48461366521607
2.24 0.48745453199754 0.48745453856405 0.48745453856405
2.32 0.48982955476235 0.48982956133128 0.48982956133128
2.40 0.49180245760085 0.49180246407540 0.49180246407540
2.48 0.49343087456130 0.49343088086445 0.49343088086445
2.56 0.49476638576280 0.49476639183644 0.49476639183644
2.64 0.49585469283547 0.49585469863896 0.49585469863896
2.72 0.49673589867582 0.49673590418410 0.49673590418411
2.80 0.49744486446812 0.49744486966957 0.49744486966957
2.88 0.49801161925099 0.49801162414511 0.49801162414511
2.96 0.49909574075267 0.49846180478826 0.49846180478826
3.04 0.49931285825549 0.49881710925690 0.49881710925690
3.12 0.49948096097656 0.49909574480018 0.49909574480018
3.20 0.49961028423860 0.49931286206208 0.49931286206208
3.28 0.49970913967489 0.49948096456679 0.49948096456679
3.36 0.49978422351271 0.49961028763743 0.49961028763742
3.44 0.49984088844420 0.49970914290671 0.49970914290671
3.52 0.49988338016042 0.49978422660071 0.49978422660071
3.60 0.49991504054429 0.49984089140984 0.49984089140984
3.68 0.49993848013798 0.49988338302318 0.49988338302318
3.76 0.49993848013798 0.49991504332150 0.49991504332150
3.84 0.49993848013798 0.49993848284482 0.49993848284482
3.92 0.49995572286615 0.49995572551569 0.49995572551569
4.00 0.49996832612598 0.49996832875817 0.49996832875817