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L<inf>p</inf>-convergence of higher order hermite or Hermite-Fejér interpolation polynomials with exponential-type weights
- Issue Date
- 2015
- Keywords
- Higher order Hermite-Fejér interpolation polynomials
- Citation
- Advanced Studies in Contemporary Mathematics (Kyungshang), v.25, no.3, pp.317 - 332
- Journal Title
- Advanced Studies in Contemporary Mathematics (Kyungshang)
- Volume
- 25
- Number
- 3
- Start Page
- 317
- End Page
- 332
- Abstract
- Let ℝ = (-00,00), and let Q ∈ C1(ℝ): R → ℝ+ = [0,∞) be an even function, which is an exponent. We consider the weight w<inf>p</inf>(x) = |x|Pe-Q(x) p ≥ 0, x ∈ ℝ, and then we can construct the orthonormal polynomials pn(w2<inf>p</inf>:x) of degree n for w2<inf>p</inf>(x). In this paper we obtain L<inf>p</inf>-convergence theorems of even order Hermite-Fejér interpolation polynomials at the zeros {x<inf>k,n,p</inf>}n<inf>k=1</inf> of p<inf>n</inf>(w2<inf>p</inf>:x).
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Related Researcher
- JUNG, HEE SUN
- Education (Mathematics Education)