Attila Házy

On Approximately Midconvex Functions

A real-valued function

On a certain stability of the Hermite–Hadamard inequality

f

On approximately t-convex functions

defined on an open, convex set

On the stability of t-convex functions

D

On approximate t-convexity

of a real normed space is called

Bernstein-Doetsch type results for (k;h)-convex functions

(\varepsilon,\delta)

Bernstein-Doetsch type results for h-convex functions

-midconvex if it satisfies

Solving linear two variable functional equations with computer

f\left(\frac{x+y}{2}\right) \le \frac{f(x)+f(y)}{2} + \varepsilon|x-y| + \delta, \quad\hbox{for } x,y\in D.