Weighted Polynomial Approximation Error, Szegö Curve and Growth Parameters of Analytic Functions

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DOI: https://doi.org/10.28924/2291-8639-22-2024-5
Published: Jan 3, 2024
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Devendra Kumar, Weighted Polynomial Approximation Error, Szegö Curve and Growth Parameters of Analytic Functions, Int. J. Anal. Appl., 22 (2024), 5.

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Devendra Kumar

Abstract

The Szegö curve is denoted by SRo={z∈C: |ze1−z|=Ro, |z|≤1} and let HR be the class of functions analytic in GR but not in GR’ if R<R’, GRo=int SRo’, 0<Ro<R<1. In this paper we have studied growth parameters in terms of weighted polynomial approximation errors on SRo for the functions f∈HR having rapidly increasing maximum modulus so that the order of f(z) is infinite.

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