Landau and Kolmogoroff type polynomial inequalities
نویسندگان
چکیده
منابع مشابه
Landau and Kolmogoroff Type Polynomial Inequalities CLAUDIA
Reprints available directly from the publisher Photocopying permitted by license only (C) 1999 OPA (Overseas Publishers Association) N.V. Let 0 <j < m _< n be integers. Denote by I1" the norm Ilfll f2 f2(x) exp(-x2) dx. For various positive values of A and B we establish Kolmogoroff type inequalities ilfU) < , Ill (m) + BIIfll AOk + B#k with certain constants Oke lZk, which hold for every fE 7r...
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Let 0 < j < m ≤ n be integers. Denote by ‖ · ‖ the norm ‖f‖2 = ∫∞ −∞ f 2(x) exp(−x2)dx. For various positive values of A and B we establish Kolmogoroff type inequalities ‖f ‖ ≤ A‖f (m)‖2 +B‖f‖2 Aθk +Bμk , with certain constants θk e μk, which hold for every f ∈ πn (πn denotes the space of real algebraic polynomials of degree not exceeding n). For the particular case j = 1 and m = 2, we provide ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 1999
ISSN: 1029-242X
DOI: 10.1155/s1025583499000430