A Cohen type inequality for polynomial expansions associated with the measure $(1-x)^\alpha (1+x)^\beta dx+M\delta_{-1}+N\delta_1$}
Vol. 15 (2008), No. 2, Page 243--255.
Fejzullahu, Bujar Xh.
A Cohen type inequality for polynomial expansions associated with the measure $(1-x)^\alpha (1+x)^\beta dx+M\delta_{-1}+N\delta_1$}
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Abstract:
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respect to polynomials associated with the measure $(1-x)^\alpha (1+x)^\beta dx+M\delta_{-1}+N\delta_1,$ where $\delta_t$ is the delta function at a point $t$ and $M,N\geq 0.$
Keywords: Jacobi polynomials, Koornwinder's Jacobi-type polynomials, polynomial expansions, Cohen type inequality.
Mathematics Subject Classification (2000): 42C05, 42C10
Mathematical Reviews Number: MR2478111
Received: 2007-12-12
