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In this chapter, we study the approximation properties of the Picard singular integral for the functions belonging to generalized Hölder spaces. We measure the rate of approximation in a generalized norm and obtained the estimates in terms of modulus of continuity.

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Approximation of Functions in Generalized Hölder Space by Means of Picard Singular Integral

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  • 发表日期：

    2026年

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  • Abhay Pratap Singh,
  • Uaday Singh

摘要

In this chapter, we study the approximation properties of the Picard singular integral for the functions belonging to generalized Hölder spaces. We measure the rate of approximation in a generalized norm and obtained the estimates in terms of modulus of continuity.