Conversion from MuPAD to MATLAB

Can anybody help me to convert the following MuPAD functions to MATLAB Symbolic Math?

//Peano Th and kernel
//pp - truncated power
pp:=(z,n)->piecewise([z>=0,z^n],[Otherwise,0]):
//PeanoKernel - compute Peano kernel given L, dex and var
PeanoKernel:=proc(L,d,t)
  local K;
begin
  K:=1/d!*eval(L(x->pp(x-t,d))); 
  return(K);
end_proc:
//PeanoCorr - Corollary to Peano Theorem
PeanoCorr:=proc(L,d)
   local K;
  begin
   K:=L(x->x^(d+1)); 
   K:=1/(d+1)!*factor(simplify(K))*(D@@(d+1))(f)(`ξ`); 
   return(K);
 end_proc:
 
 //PeanoKernel:=proc(L,d,t) //versiune veche
//  local K,ff;
//begin
//    ff:=x-->piecewise([x-t>=0,(x-t)^d],[Otherwise,0]);
//    K:=1/d!*eval(L(x->ff(x))); 
//  return(K);
//end_proc:
 

//PeanoEstimation - Estimation based on Peano's theorem
PeanoEstimation:=proc(L,d,a,b)
  local K;
 begin  
  K:=PeanoKernel(L,d,t);
  M[d+1]*int(abs(K),t=a..b);
end_proc: 

The automatic conversion yields a lot of errors.

[darova]

I think faster be to write new code. DO you how original formulas?

[Radu Trimbitas]

I tried but I had a lot of errors.

If L is a linear and continuous functional, and L(f)=0 for each polynomial f of degree at most d

, where K is the Peano Kernel

, and is z for and 0 otherwise.

I intend to use these formulas to compute rests for various approximation formulas.

The code works fine in MuPAD, but Mathworks removed the MuPAD Notebook Interface in 2020 a prerelease.

[darova]

What about this

syms t
K = 1/factorial(d)*L( (x-t)^d );
L = integral(K*f^(d+1),a,b)

[Radu Trimbitas]

f^(d+1) means the derivative of order (d+1) of f

Answer 1

[Cris LaPierre]

Have you seen this page? It recommends trying the convertMuPADNotebook function. It also points to the resource page Convert MuPAD Notebooks to MATLAB Live Scripts.