Application of Hölder’s Inequality and Convolutions
نویسندگان
چکیده
Abstract. In this paper we introduce a new subclass Mp(n, α, c) of analytic and multivalent functions in the unit disk which includes the class Sp(n, α) of multivalent starlike functions of order α and the class Tp(n,α) of multivalent convex functions of order α . Using generalized Bernardi Libera integral operator and Hölder’s inequality, some interesting properties of convolution for the class Mp(n, α, c) are considered
منابع مشابه
An Application of Hölder’s Inequality for Convolutions
Let Ap(n) be the class of analytic and multivalent functions f(z) in the open unit disk U. Furthermore, let Sp(n, α) and Tp(n, α) be the subclasses of Ap(n) consisting of multivalent starlike functions f(z) of order α and multivalent convex functions f(z) of order α, respectively. Using the coefficient inequalities for f(z) to be in Sp(n, α) and Tp(n, α), new subclasses S∗ p (n, α) and T ∗ p (n...
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