Abstract
Integral means inequalities are obtained for the fractional derivatives of order of functions belonging to a unified subclass of prestarlike functions. Relevant connections with various known integral means inequalities are also pointed out.
Highlights
Let denote the class of functions of the form ∞f (z) = z + anzn, n=2 (1.1)which are analytic and univalent in the open unit disk U = {z ∈ C : |z| < 1}
Integral means inequalities are obtained for the fractional derivatives of order p + λ(0 ≤ p ≤ n, 0 ≤ λ < 1) of functions belonging to a unified subclass of prestarlike functions
By virtue of the fractional derivative formula (1.25) and Definition 1.5, we find from (1.1) that
Summary
Integral means inequalities are obtained for the fractional derivatives of order p + λ(0 ≤ p ≤ n, 0 ≤ λ < 1) of functions belonging to a unified subclass of prestarlike functions. Relevant connections with various known integral means inequalities are pointed out
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