On \(\alpha\)-convex sequences of higher order

Abstract

Many important applications of the class of convex sequences came across in several branches of mathematics as well as their generalizations. In this paper, we have introduced a new class of convex sequences, the class of \(\alpha\)-convex sequences of higher order. In addition, the characterizations of sequences belonging to this class have been shown.

Keywords

• sequence
• convexity
• alpha-convexity
• starshaped sequence
• higher order convexity