Consider a piecewise linear interpolation of exp(x), 0


Consider a piecewise linear interpolation of exp(x), 0<=x<=2, with h=0.01; that is, split [0,2] into small windows<br>[0,0.01], [0.01,0.02], ., [1.99, 2], and for each x, let the approximated function interpolate the two end points of the<br>window in which x lies. Find a bound of the error of this interpolation on [0,2].<br>

Extracted text: Consider a piecewise linear interpolation of exp(x), 0<><=2, with="" h="0.01;" that="" is,="" split="" [0,2]="" into="" small="" windows="" [0,0.01],="" [0.01,0.02],="" .,="" [1.99,="" 2],="" and="" for="" each="" x,="" let="" the="" approximated="" function="" interpolate="" the="" two="" end="" points="" of="" the="" window="" in="" which="" x="" lies.="" find="" a="" bound="" of="" the="" error="" of="" this="" interpolation="" on="">

Jun 03, 2022
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