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<p>This work examines the efficiency of generalized Abel–Poisson means in seminormed approximation of periodic functions. Such approximation of the corresponding conjugate functions via generalized conjugate Abel–Poisson means is also examined. In particular, the seminormed approximation of periodic functions and their conjugate functions by the classical Abel–Poisson integral and the conjugate Abel–Poisson integral, respectively, is derived as a special case of the main results.</p>

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On the efficiency of certain operators of Abel–Poisson type in seminormed approximations

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Xhevat Z. Krasniqi

摘要

This work examines the efficiency of generalized Abel–Poisson means in seminormed approximation of periodic functions. Such approximation of the corresponding conjugate functions via generalized conjugate Abel–Poisson means is also examined. In particular, the seminormed approximation of periodic functions and their conjugate functions by the classical Abel–Poisson integral and the conjugate Abel–Poisson integral, respectively, is derived as a special case of the main results.