Geodesic
Approximation of functions by partial sums of a Fourier series of generalized Jacobi polynomials
Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 671-682 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the asymptotic behavior of an upper bound for the remainder of a Fourier series in generalized Jacobi polynomials, extended to the class $W^rH_\omega$. 
@article{MZM_1968_3_6_a6,
     author = {V. M. Badkov},
     title = {Approximation of functions by partial sums of {a~Fourier} series of generalized {Jacobi} polynomials},
     journal = {Matemati\v{c}eskie zametki},
     pages = {671--682},
     year = {1968},
     volume = {3},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a6/}
}
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V. M. Badkov. Approximation of functions by partial sums of a Fourier series of generalized Jacobi polynomials. Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 671-682. http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a6/