Some Moment Problems in a Finite Interval
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 960-966

Voir la notice de l'article provenant de la source Cambridge University Press

Let the sequence {λi} (i ≧ 0) satisfy the following conditions. 1. 2. 3. We shall deal with the following moment problems: what are the conditions, necessary and sufficient, on a sequence {μn} (n ≧ O) in order that it should possess the representation 1.1
Leviatan, D. Some Moment Problems in a Finite Interval. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 960-966. doi: 10.4153/CJM-1968-093-8
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[1] 1. Hausdorff, F., Summationsmethoden und momentenfolgen. II, Mat. Z. 5 (1921), 280–299.10.1007/BF01279032 Google Scholar | DOI

[2] 2. Krasnosel'skiï, M. A. and Rutickiï, Ya. B., Convex function and Orlicz spaces (P. Noordhoff, Grôningen, 1961). Google Scholar

[3] 3. Leviatan, D., A generalized moment problem, Israel J. Math. 5 (1967), 97–103. Google Scholar

[4] 4. Lorentz, G. G., Bernstein polynomials (Univ. Toronto Press, Toronto, 1953). Google Scholar

[5] 5. Medvedev, Ju. I., Generalization of a theorem of F. Riesz, Uspehi Mat. Nauk 8 (1953), 115–118. Google Scholar

[6] 6. Schoenberg, I. J., On finite rowed system ôf linear inequalities in infinitely many variables, Trans. Amer. Math. Soc. 34 (1932), 594–619. Google Scholar

[7] 7. Widder, D. V., The Laplace transform (Princeton, 1946). Google Scholar

[8] 8. Zygmond, A., Trigonometric series. I, 2nd ed. (Cambridge Univ. Press, Cambridge, 1959). Google Scholar

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