This is a preview. Log in through your library . Abstract We derive a formula for an n-th order divided difference of the inverse of a function. The formula has a simple and surprising structure: it ...

This is a preview. Log in through your library . Abstract The inverse-function theorem is generalized to multivalued functions of the form f(x) + K, where f is a differentiable single-valued function ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...