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- W3008369570 abstract "The main result of the paper is a lower estimate for the moduli of imaginary parts of the poles of a simple partial fraction (i.e. the logarithmic derivative of an algebraic polynomial) under the condition that the $$L^infty ({mathbb {R}})$$-norm of the fraction is unit (Gorin’s problem). In contrast to the preceding results, the estimate takes into account the residues associated with the poles. Moreover, a new estimate for the moduli is obtained in the case when the $$L^infty ({mathbb {R}})$$-norm of the derivative of the simple partial fraction is unit (Gelfond’s problem)." @default.
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- W3008369570 date "2020-02-19" @default.
- W3008369570 modified "2023-10-08" @default.
- W3008369570 title "Gorin’s Problem for Individual Simple Partial Fractions" @default.
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- W3008369570 doi "https://doi.org/10.1007/s11785-020-00986-4" @default.
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