članak: 1 od 1  
Publikacija Elektrotehničkog fakulteta - serija: matematika
2004, br. 15, str. 7-12
jezik rada: engleski
naučni članak
doi:10.2298/PETF0415007L

An integral inequality for non-negative polynomials
(naslov ne postoji na srpskom)
University 'Lucian Blaga' - Faculty of Sciences - Department of Mathematics, Sibiu, Romania

e-adresa: lucianalupas@yahoo.com

Sažetak

(ne postoji na srpskom)
If p is a polynomial of the exact degree n, p ≥ 0 on [a, b], the aim of this paper is to establish an inequality of the form . There are given all extremal polynomials for which the equality case is attained.

Reference

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Lukacs, F. (1918) Versch\'arfung des ersten Mittelwertsatzes der Integralrechnung f\'ur rationale Polynome. Mathematische Zeitschrift, 2, 4, 295-305
Milovanović, G.V., Mitrinović, D.S., Rassias, Th.M. (1994) Topics in polynomials: Extremal problems, inequalities, zeros. Singapore, itd: World Scientific
Szego, G. (1978) Orthogonal polynomials. u: American Mathematical Society Colloquium Publications, Providence, RI: American Mathematical Society / AMS, 23