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On the generalized Euler-Frobenius polynomial
Feng, Yu Yu ; Kozak, Jernej
Študiramo lastnosti generaliziranega Euler-Frobeniusovega polinoma ▫$\Pi_n(\bullet,q)$▫. Dokažemo, da ima ničle separirane s faktorjem ▫$q$▫ in izpeljemo asimptotično obnašanje, ko gre ▫$q \to ...\infty$▫. Kot posledico dokažemo, da je aproksimacija po metodi najmanjših kvadratov z zlepki na bineskončni geometrijski mreži omejena neodvisno od (lokalne) razgibanosti in da norma pripadajoče inverzne Gramove matrike, sestavljene z B-zlepki, monotono pada k ▫$2k-1$▫ za velike ▫$q$▫, ko ▫$q \to \infty$▫.
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