Math 108: Brief Calculus with Applications This course is an introduction to the calculus of polynomial, rational, exponential and logarithmic functions, including some multi-variable calculus, with ...

In this note it is proved that the integral arithmetic mean of a convex function is a Schur-convex function. Applications to Schur-convexity of logarithmic mean and gamma functions are given.

In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...