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초록· 키워드
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Infinite finite range inequalities relate the norm of a weighted polynomial over R to its norm over a finite interval.
In this paper we extend such inequalities to generalized polynomials with the weight W(x)=∏k=1m |x-xk|□k · exp(-|x|α).
목차
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참고문헌 (12)
참고문헌 신청
A.L. Levin / 1987 / Canonical products and the weights exp(-ΙxΙα), α > 1, with applications / J. Approx. Theory 49 : 149 ~ 169
D.S. Lubinsky / 1988 / A proof of Freud's conjecture for exponential weights / Constr. Approx. 4 : 65 ~ 83
H. Joung / 1999 / Estimates of Christoffel functions for generalized polynomils with ex-ponential weights / Comm. Korean Math. Soc. 14 (1) : 121 ~ 134
H.N. Mhaskar / 1984 / Extremal problems for polynomials with exponential weights / Trans. Amer. Math. Soc. 285 : 203 ~ 234
H.N. Mhaskar / 1985 / Where does the Sup Norm of a Weighted Polyno-mial Live? / Constr. Approx. 1 : 71 ~ 91
D.S. Lubinsky / 1988 / A proof of Freud's conjecture for exponential weights / Constr. Approx. 4 : 65 ~ 83
H. Joung / 1999 / Estimates of Christoffel functions for generalized polynomils with ex-ponential weights / Comm. Korean Math. Soc. 14 (1) : 121 ~ 134
H.N. Mhaskar / 1984 / Extremal problems for polynomials with exponential weights / Trans. Amer. Math. Soc. 285 : 203 ~ 234
H.N. Mhaskar / 1985 / Where does the Sup Norm of a Weighted Polyno-mial Live? / Constr. Approx. 1 : 71 ~ 91
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