It is shown that if $F$ is a function defined and continuous on $\lbrack a, b \rbrack$ such that (where $n$ is an even integer): (a) $$F_{(r)}(x) = \lim_{h ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

School’s in session. Let’s talk about math. Go back to your calculus class senior year in high school. You take the derivative of y with respect to x. You are finding the sensitivity to the change in ...

The study of inequalities and integral operators in convex analysis has evolved into a rich field that unites classical methods with modern extensions. At its core, convex analysis examines functions ...