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A Cohen Type Inequality for Orthogonal Expansions with Respect to the Generalized Jacobi Weight

✍ Scribed by Bujar Xh. Fejzullahu


Publisher
Springer
Year
2009
Tongue
English
Weight
452 KB
Volume
55
Category
Article
ISSN
1422-6383

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A Cohen type inequality for Fourier expa
✍ Bujar Xh. Fejzullahu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 156 KB

## Abstract Let __d__ΞΌ(__x__) = (1 βˆ’ __x__^2^)^Ξ±βˆ’1/2^__dx__,Ξ±> βˆ’ 1/2, be the Gegenbauer measure on the interval [ βˆ’ 1, 1] and introduce the non‐discrete Sobolev inner product where Ξ»>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona