A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
نویسنده
چکیده
AbstractIn this paper, we introduce a new class K(α, β) of uniformly convex functions defined by a certain fractional calculus operator. The class has interesting subclasses like β-uniformly starlike, βuniformly convex and β-uniformly pre-starlike functions. Properties like coefficient estimates, growth and distortion theorems, modified Hadamard product, inclusion property, extreme points, closure theorem and other properties of this class are studied. Lastly, we discuss a class preserving integral operator, radius of starlikeness, convexity and close-toconvexity and integral mean inequality for functions in the class K(α, β).
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