The Lebesgue constants for Jacobi series. I
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- by Lee Lorch PDF
- Proc. Amer. Math. Soc. 10 (1959), 756-761 Request permission
References
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Henri Lebesgue, Sur les intégrales singulières, Ann. Fac. Sci. Univ. Toulouse 3è série vol. 1 (1909) pp. 27-117.
- Lee Lorch, Asymptotic expressions for some integrals which include certain Lebesgue and Fejér constants, Duke Math. J. 20 (1953), 89–103. MR 52539 Heinz Rau, Über die Lebesgueschen Konstanten der Reihenentwicklungen nach Jacobischen Polynomen, J. Reine Angew. Math. vol. 161 (1929) pp. 237-254. Gabor Szegö, Asymptotische Entwicklungen der Jacobischen Polynome, Schr. Königsberg. Gel. Ges. Naturwiss. Kl. vol. 10 (1933) pp. 35-102. —, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 756-761
- MSC: Primary 41.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0109981-3
- MathSciNet review: 0109981