On q-Convex Functions Defined by the q-Ruscheweyh Derivative Operator in Conic Regions

Abstract

The core objective of this article is to introduce and investigate a new class $\beta -{\text{UCV}}_q^{\lambda }\left[A,B\right]$ of convex functions associated with the conic domain defined by the Ruscheweyh q-differential operator. Many interesting properties such as sufficiency criteria, coefficient bounds, partial sums, and radius of convexity of order $\alpha$ for the functions of the said class are investigated here.