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Polynomial Approximation in Bergman Spaces

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Ukrainian Mathematical Journal Aims and scope

We obtain Jackson and converse inequalities for the polynomial approximation in Bergman spaces. Some known results presented for the moduli of continuity are extended to the moduli of smoothness. We also prove some simultaneous approximation theorems and deduce the Nikol’skii–Stechkin inequality for polynomials in these spaces.

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Authors and Affiliations

  1. Balikesir University, Balikesir, Turkey

    R. Akgün

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  1. R. Akgün
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 435–448, April, 2016.

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Akgün, R. Polynomial Approximation in Bergman Spaces. Ukr Math J 68, 485–501 (2016). https://doi.org/10.1007/s11253-016-1236-z

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  • DOI: https://doi.org/10.1007/s11253-016-1236-z

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