The implied volatility is a crucial element in any financial toolbox, since it is used to both quote and hedge options as well as for model calibration. In contrast to the Black–Scholes formula, its ...

Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

A theorem of Korovkin states that a sequence of positive linear operators on C[ a, b] converges strongly to the identity if and only if convergence holds on a three-dimensional Chebyshev subspace of C ...