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September 12, 2025Ufimskii Matematicheskii ZhurnalOpen Access

On multiple interpolation of periodic complex - valued functions

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Authors

AFA. I. Fedotov

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Implication

Constructive methods create polynomials for periodic complex-valued functions, highlighting unresolved challenges.

Key Points

  • Constructing trigonometric interpolation polynomials enables precise representation of complex-valued functions, enhancing mathematical analysis.
  • The results demonstrate polynomials that interpolate periodic functions, showcasing their utility in mathematical modeling.
  • Examples provided underscore the efficacy of the proposed methods, while also pointing to unresolved problems needing further exploration.
  • The general form of the polynomials offers a comprehensive framework for advancements in interpolation theory.

Cite This Study

A. I. Fedotov (2025) studied this question.

synapsesocial.com/papers/68d44b3031b076d99fa54740https://doi.org/10.13108/2025-17-3-96
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