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On best constants in Hardy inequalities with a remainder term

✍ Scribed by Salvatore Cuomo; Adamaria Perrotta


Book ID
108216778
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
320 KB
Volume
74
Category
Article
ISSN
0362-546X

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## An additive form of the Landau inequality for is proved for 0<c (cos(?Γ‚2n)) &2 , 1 m n&1, with equality for , where T n is the Chebyshev polynomial. From this follows a sharp multiplicative inequality, For these values of \_, the result confirms Karlin's conjecture on the Landau inequality f