منابع مشابه
Note on weighted Carleman-type inequality
In (1.2), letting p → ∞, then the following Carleman inequality [6, page 249] is deduced: ∞ ∑ n=1 ( a1a2 ···an )1/n < e ∞ ∑ n=1 an, (1.3) where an ≥ 0 for n∈N and 0 < ∑∞ n=1 an <∞. The constant e is the best possible. Carleman’s inequality (1.3) was generalized in [6, page 256] by Hardy as follows. Let an ≥ 0, λn > 0, Λn = ∑n m=1 λm for n∈N, and 0 < ∑∞ n=1 λnan <∞, then ∞ ∑ n=1 λn ( a1 1 a λ2 2...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.475