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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.25 No.3
- 발행연도
- 2015.1
- 수록면
- 317 - 333 (17page)
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Let R = (-, ∞), and let Q ∈ C1(R) : R → R+ = [0, ∞) be an even function, which is an exponent. We consider the weight wρ(x) = |x|ρe-Q(x), ρ > 0, x ∈ R, and then we can construct the orthonormal polynomials pn(w2ρ; x) of degree n for w2ρ(x). In this paper we obtain Lp-convergence theorems of even order Hermite-Fejer interpolation polynomials at the zeros {xk,n,ρ}n k=1 of pn(w2 ρ; x).
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