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- W4238254562 abstract "The positivity of some Cesà ro mean is proven for Jacobi series $Sigma {a_n}P_n^{(alpha ,beta )}(x),alpha ,beta geqq - tfrac {1}{2}$. This has applications to the mean convergence of Lagrange interpolation at the zeros of Jacobi polynomials. The positivity of the $(C,alpha + beta + 2)$ means is conjectured and proven for some $(alpha ,beta )$. One consequence of this conjecture would be the complete monotonicity of ${x^{ - c}}{({x^2} + 1)^{ - c}},c geqq 1$." @default.
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- W4238254562 date "1973-05-01" @default.
- W4238254562 modified "2023-10-14" @default.
- W4238254562 title "Summability of Jacobi Series" @default.
- W4238254562 doi "https://doi.org/10.2307/1996491" @default.
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