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The central aim is to explore a conjecture about the behavior of convex functions under the Graham–Kohr extension operator.

April 22, 2026The Journal of AnalysisOpen Access

A conjecture related to convex functions on the unit disc: numerical approach and extension results

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The central aim is to explore a conjecture about the behavior of convex functions under the Graham–Kohr extension operator.
Analyzed convex functions defined on the unit disc from a numerical perspective.
Evaluated the implications of the conjectured inequality.
Investigated the extension problem in complex spaces.
The conjecture suggests that the Graham–Kohr extension operator maintains convexity under certain conditions.
Introduced an inequality that addresses previous questions on convexity preservation.
Numerical examples support the plausibility of the conjecture's claims.

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Numerical analysis presents a conjecture on convexity preservation in complex functions, indicating important implications.

Eduard Ştefan Grigoriciuc (2026) studied this question.

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