Abstract
We establish conditions for the existence of a solution of the interpolation problem f(λ n ) = b n in the class of functions f analytic in the unit disk and such that
Here, η : [1; +∞) → (0; +∞) is an increasing function convex with respect to ln t on the interval [1; +∞) and such that ln t = o(η(t)), t → ∞.
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Vynnyts'kyi, B.V., Sheparovych, I.B. Interpolation Sequences for the Class of Functions of Finite η-Type Analytic in the Unit Disk. Ukrainian Mathematical Journal 56, 520–526 (2004). https://doi.org/10.1023/B:UKMA.0000045694.09930.44
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DOI: https://doi.org/10.1023/B:UKMA.0000045694.09930.44