INTERPOLATION SEQUENCES FOR THE CLASS OF FUNCTIONS OF FINITE η-TYPE ANALYTIC IN THE UNIT DISK


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Abstract

We establish conditions for the existence of a solution of the interpolation problem fn) = bn in the class of functions f analytic in the unit disk and such thatHere, 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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