Bernstein--Doetsch type theorems with Tabor type error terms for set-valued maps

Abstract

In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein--Doetsch Theorem with Tabor type error terms.

References in corpus (2)

• Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type
• Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities

Cited by in corpus (1)

• On approximately monotone and approximately Hölder functions