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- clear, clc, close all;
- syms x
- n=11;
- f(x)=cos(pi*x/2);
- [v]=VECTORFV(n,f);
- p=1;
- for j=1:3:n
- p=p*v(j);
- end
- s1=0;
- for k=2:3:n
- s1=s1+(v(k));
- end
- s2=0;
- for k=3:3:n
- s2=s2+(v(k));
- end
- s=s1-s2;
- z=p-s;
- disp(z)
- b=0;
- for k=3:3:n
- b=b+((((k-n/2)^(k/3))/(factorial(k/3))*v(k)));
- end
- g(x)=eval(f(n/2))+b;
- fplot(f,[(n/2)-1,(n/2)+1], Color= 'r')
- hold on
- fplot(g,[(n/2)-1,(n/2)+1], Color= 'b')
- function[v]= VECTORFV(n,f)
- syms x
- v=zeros(n,1);
- for k=1:3:n
- a=((-1)^k)/(k*(k+1)*(k+2));
- b=eval(int(f^k,x,0,n));
- v(k)=a*b;
- end
- for k=2:3:n
- a=((-1)^(k+1))/(k^3-k);
- b=eval(int(f,x,0,k));
- v(k)=a*b^n;
- end
- faux(x)=f(x);
- for k=3:3:n
- fa=diff(faux,x,k/3);
- v(k)=eval(fa(n/2));
- faux(x)=f(x);
- end
- end
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