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arXiv · 2503.15780

On the Convexity of the Bernardi Integral Operator

Johnny E. Brown
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Abstract

We prove that the Bernardi Integral Operator maps certain classes of bounded starlike functions into the class of convex functions, improving the result of Oros and Oros. We also present a general unified method for investigating various other integral operators that preserve many of the previously studied subclasses of univalent and p-valent functions.

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Johnny E. Brown. 2025-03-20. On the Convexity of the Bernardi Integral Operator. https://arxiv.org/abs/2503.15780

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