On q−bernardi integral operatorKhalida Inayat Noor, Sadia Riaz, Muhammad Aslam Noor (pp. 3-11)
Abstract.In this paper, we introduce the q-Bernardi integral operator for analytic functions using the concept of q-calculus. We also introduce two new classes of analytic functions with respect to q-derivative. The convexity and integral preserving properties for these classes in open unit disc are investigated. Special cases of our main results are discussed, which appear to be new ones. The ideas and techniques of this paper may inspire further research in this field.
Keywords:q-calculus, q-Bernardi integral operator