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 ...

Let A denote the class of analytic functions f(z) defined in the unit disc satisfying the condition f(0) = f'(0)-1 = 0. Let S̅*(β, γ) be the class of strongly starlike functions of order β and type γ, ...

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 ...