본문 바로가기
KERD
논문KCI 등재

Generalized Christoffel functions

정해원
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2010.06|한국수학논문집 (Korean Journal of Mathematics)|제18권 제2호|pp. 149-160

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

generalized polynomialsFreud weightsChristoffel functions
주제분류수학

초록

Let W(x)=∏k=1m |x-xk|□k ·exp(-|x|α). Associated with the weight W, upper and lower bounds of the generalized Christoffel functions for generalized nonnegative polynomials are obtained.

Abstract

Let W(x)=∏k=1m |x-xk|□k ·exp(-|x|α). Associated with the weight W, upper and lower bounds of the generalized Christoffel functions for generalized nonnegative polynomials are obtained.

참고문헌 (13)

  1. T. Erdelyi, "Bernstein and Markov type inequalities for generalized non-negative polynomials", Canad. J. Math., 43, pp.495~505 (1991)
  2. T. Erdelyi, "Remez-type inequalities on the size of generalized non-negative poly-nomials", J. Lond. Math. Soc., 45, pp.255~264 (1992)
  3. T. Erdelyi, "Inequalities for generalized nonnegative poly-nomials", Constr. Approx., 8, pp.241~255 (1992)
  4. T. Erdelyi, "Generalized Jacobi weights, Christoffel functions and zeros of orthogonal polynomials", J. Approx. Theory, 69, pp.111~132 (1992)
  5. G. Freud, "On Markov-Bernstein type inequalities and their applications", J. Ap-prox. Theory, 19, pp.22~37 (1977)
  6. H. Joung, "Estimates of Christoffel functions for generalized polynomils with ex-ponential weights", Commun. Korean Math. Soc., 14(1), pp.121~134 (1999)
  7. 정해원, "Infinite finite range inequalities", 한국수학논문집, 18(1), pp.63~77 (2010), 강원경기수학회
  8. A. L. Levin, "Canonical products and the weights exp(-ΙxΙα), α > 1, with applications", J. Approx. Theory, 49, pp.149~169 (1987)
  9. H. N. Mhaskar, "Where does the Sup Norm of a Weighted Poly-nomial Live?", Constr. Approx., 1, pp.71~91 (1985)
  10. P. Nevai, "Bernstein's inequality in Lp for 0 < p < 1", J. Approx. Theory., 27, pp.239~243 (1979)
  11. P. Nevai, "Geza Freud. Orthogonal Polynomials and Christoffel Functions. A Case Study", J. Approx. Theory., 48, pp.3~167 (1986)
  12. P. Nevai, "Orthogonal polynomials", Mem. Amer. Math. Soc., 213 (1979)
  13. P. Nevai, "Polynomials orthonormal on the real line with weight ΙxΙα exp(-ΙxΙβ), I", Acta Math. Hungar., 24, pp.407~416 (1973)

관련 논문AI추천

FULL QUADRATURE SUMS FOR GENERALIZED POLYNOMIALS WITH FREUD WEIGHTS정해원대한수학회 · 대한수학회논문집2010 · 제25권 제2호Infinite finite range inequalities정해원강원경기수학회 · 한국수학논문집2010 · 제18권 제1호Lp-CONVERGENCE OF HIGHER ORDER HERMITE OR HERMITE-FEJÉR INTERPOLATION POLYNOMIALS WITH EXPONENTIAL-TYPE WEIGHTSH. S. Jung, R. Sakai장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호CERTAIN CONDITIONS FOR MEAN CONVERGENCE OF HERMITE AND HERMITE-FEJER INTERPOLATION POLYNOMIALS WITH ERDOS-TYPE WEIGHTS정희선, RYOZI SAKAI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호Specific examples of exponential weights정희선, Ryozi Sakai대한수학회 · 대한수학회논문집2009 · 제24권 제2호On an operator preserving polynomial inequalitiesIshfaq Dar, Liyaqat Ali, N. A. Rather강원경기수학회 · 한국수학논문집2021 · 제29권 제2호

이 간행물의 다른 논문 (10건)

Weak convergence of an iterative method for equilibrium problems and relatively nonexpansive mappings강신민, 조선영pp. 105-118On strong reversible rings and their extensionsMuhittin Baser, 곽태근pp. 119-132A study on the recurrence relations and vectors Xλ,Sλ and Uλ in g - ESXn황인호pp. 133-139Some results in fuzzy almost r-M continuous functions on fuzzy r-minimal structures김명환, 민원근pp. 141-148Circular units of abelian fields with a prime power conductor유자도, 김재문pp. 161-166
원문 보기