Some Inequalities Associated with a Linear Operator Defined for a Class of Analytic Functions
نویسنده
چکیده
In this paper, we give a sufficient condition on a linear operator Lp(a, c)g(z) which can guarantee that for α a complex number with Re(α) > 0, Re { (1− α)p c)f(z) Lp(a, c)g(z) + α Lp(a + 1, c)f(z) Lp(a + 1, c)g(z) } > ρ, ρ < 1, in the unit disk E, implies Re { Lp(a, c)f(z) Lp(a, c)g(z) } > ρ ′ > ρ, z ∈ E. Some interesting applications of this result are also given.
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تاریخ انتشار 2005