V. A. Prokhorov

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20182026

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math.CV2026

Product Asymptotics for Rows of the Walsh Table on Regular Compact Sets

V. A. Prokhorov

Let $E$ be a regular compact set with connected complement, and let $f$ be holomorphic in a neighborhood of $E$ . We establish Hadamard-type asymptotic formulas for products of erro…

math.CV2026

Hadamard-Type Asymptotics for Products of Best Rational Approximation Errors

Vasiliy A. Prokhorov

Let $E \subset C$ be a compact set with connected complement, and let $ρ_{n, m} (f; E)$ denote the error of best uniform rational approximation to a function $f$ analytic on $E…