Jackson's_inequality
Jackson's inequality
Inequality on approximations of a function by algebraic or trigonometric polynomials
In approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the modulus of continuity or modulus of smoothness of the function or of its derivatives.[1] Informally speaking, the smoother the function is, the better it can be approximated by polynomials.