Functional inequalities for starlike and convex functions associated with $g$-derivative operator

An Huang, Pinhong Long, Halit Orhan +1

In this paper we first introduce a new class of derivative operators, termed $g$-derivative operators, which unifies the $q$-derivative, $(p,q)$-derivative and $(\hat{I}\pm ,{\hat{I}}^2,{\hat{I}}^3)$-derivat…