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<p>This paper explores the degree of approximation of periodic functions in the generalized Hölder class by the biharmonic Poisson integrals, evaluated within the framework of the associated norm. The approximation is quantified using two moduli of continuity, thereby offering a detailed and comprehensive characterization of the approximation behavior.</p>

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THE DEGREE OF APPROXIMATION FOR FUNCTIONS IN THE GENERALIZED HÖLDER CLASS VIA THE BIHARMONIC POISSON INTEGRALS

  • 期刊论文

  • 发表日期：

    2025年7月30日

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  • Xhevat Z. Krasniqi

摘要

This paper explores the degree of approximation of periodic functions in the generalized Hölder class by the biharmonic Poisson integrals, evaluated within the framework of the associated norm. The approximation is quantified using two moduli of continuity, thereby offering a detailed and comprehensive characterization of the approximation behavior.