The shooting method applied to a cyclic inequality
نویسندگان
چکیده
منابع مشابه
The Extension of a Cyclic Inequality to the Symmetric Form
Let n be a natural number such that n ≥ 2, and let a1, . . . an be positive numbers. Considering the notations Si1... ik = ai1 + · · ·+ aik , S = a1 + · · ·+ an, we prove certain inequalities connected to conjugate sums of the form: ∑ 1≤i1<···<ik≤n Si1... ik S − Si1... ik Then provided that 1 ≤ k ≤ n − 1 we give certain lower estimates for expressions of the above form, that extend some cyclic ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1980
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1980-0551296-2