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Markov type polynomial inequality for some generalized Hermite weight


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In this paper we study some weighted polynomial inequalities of Markov type in L2-norm. We use the properties of the system of generalized Hermite polynomials . The polynomials H(α)n (x) are orthogonal in ℝ = (−∞,∞) with respect to the weight function .

The classical Hermite polynomials Hn(x) present the special case for α = 0.

ISSN:
1210-3195
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines