Abstract
Szegö’s infimum is studied relative to a side condition on norms. A method based on Mellin transforms yields closed form expressions for the extremal functions when the weight function is the characteristic function of an arc on the unit circle.
Research supported by NSF Grant MCS 81–02518.
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Rovnyak, J. (1984). Optimal Approximants and Szegö’s Infimum. In: Butzer, P.L., Stens, R.L., Sz.-Nagy, B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5432-0_30
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DOI: https://doi.org/10.1007/978-3-0348-5432-0_30
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