Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights
Joint Authors
Sakai, Ryozi
Jung, Hee Sun
Nakamura, Gou
Suzuki, Noriaki
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-16
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
Let R=(-∞,∞), and let wρ(x)=|x|ρe-Q(x), where ρ>-1/2 and Q∈C1(R):R→R+=[0,∞) is an even function.
Then we can construct the orthonormal polynomials pn(wρ2;x) of degree n for wρ2(x).
In this paper for an even integer ν≥2 we investigate the convergence theorems with respect to the higher-order Hermite and Hermite-Fejér interpolation polynomials and related approximation process based at the zeros {xk,n,ρ}k=1n of pn(wρ2;x).
Moreover, for an odd integer ν≥1, we give a certain divergence theorem with respect to the higher-order Hermite-Fejér interpolation polynomials based at the zeros {xk,n,ρ}k=1n of pn(wρ2;x).
American Psychological Association (APA)
Jung, Hee Sun& Nakamura, Gou& Sakai, Ryozi& Suzuki, Noriaki. 2012. Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights. ISRN Mathematical Analysis،Vol. 2012, no. 2012, pp.1-31.
https://search.emarefa.net/detail/BIM-506804
Modern Language Association (MLA)
Jung, Hee Sun…[et al.]. Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights. ISRN Mathematical Analysis No. 2012 (2012), pp.1-31.
https://search.emarefa.net/detail/BIM-506804
American Medical Association (AMA)
Jung, Hee Sun& Nakamura, Gou& Sakai, Ryozi& Suzuki, Noriaki. Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights. ISRN Mathematical Analysis. 2012. Vol. 2012, no. 2012, pp.1-31.
https://search.emarefa.net/detail/BIM-506804
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506804