Approximation with norms defined by derivations
Approximation with norms defined by derivations
A linear mapping D of the algebra of polynomial functions P [0, 1] into the algebra of all continuous complex-valued functions C [0,1] is called a derivation provided D(fg) = fD(g) + gD(f) for all polynomials f and g . The derivations of P [0, 1] into C [0,1] are …