Korean Journal of Mathematics

  • 제18권1호
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  • Pages.63-77
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  • 2010
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

INFINITE FINITE RANGE INEQUALITIES

  • 투고 : 2010.01.10
  • 심사 : 2010.03.08
  • 발행 : 2010.03.01
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초록

Infinite finite range inequalities relate the norm of a weighted polynomial over ${\mathbb{R}}$ to its norm over a finite interval. In this paper we extend such inequalities to generalized polynomials with the weight $W(x)={\prod}^{m}_{k=1}{\mid}x-x_k{\mid}^{{\gamma}_k}{\cdot}{\exp}(-{\mid}x{\mid}^{\alpha})$.

키워드

참고문헌

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