An extremum problem for polynomials
Compositio Mathematica, Tome 14 (1959-1960), pp. 260-268 
@article{CM_1959-1960__14__260_0,
     author = {Schoenberg, I. J. and Szeg\"o, Gabor},
     title = {An extremum problem for polynomials},
     journal = {Compositio Mathematica},
     pages = {260--268},
     year = {1959-1960},
     publisher = {Kraus Reprint},
     volume = {14},
     mrnumber = {130520},
     zbl = {0097.04902},
     language = {en},
     url = {https://www.numdam.org/item/CM_1959-1960__14__260_0/}
}
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Schoenberg, I. J.; Szegö, Gabor. An extremum problem for polynomials. Compositio Mathematica, Tome 14 (1959-1960), pp. 260-268. https://www.numdam.org/item/CM_1959-1960__14__260_0/

L. Brickman, [1] A new generalization of a problem of F. Lukács. Compositio Mathematica, Volumen XIV, Fasc. 3. | Zbl | Numdam

F. Lukács, [2] Verschärfung des ersten Mittelwertsatzes der Integralrechnung, Math. Zeitschrift 2 (1918), 295-305. | MR | JFM

G. Szegö, [3] Orthogonal Polynomials, Revised edition, New York, 1959. | Zbl | MR