کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9503239 1339560 2005 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the positivity of symmetric polynomial functions. Part II: Lattice general results and positivity criteria for degrees 4 and 5
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the positivity of symmetric polynomial functions. Part II: Lattice general results and positivity criteria for degrees 4 and 5
چکیده انگلیسی
We prove that homogeneous symmetric polynomial inequalities of degree p∈{4,5} in n positive1 variables can be algorithmically tested, on a finite set depending on the given inequality (Theorem 13); the test-set can be obtained by solving a finite number of equations of degree not exceeding p−2. Section 3 discusses the structure of the ordered vector spaces (Hp[n],⪯) and (Hp[n],⋞). In Section 4, positivity criteria for degrees 4 and 5 are stated and proved. The main results are Theorems 10-14. Part III of this work will be concerned with the construction of extremal homogeneous symmetric polynomials (best inequalities) of degree 4 in n positive variables.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 304, Issue 2, 15 April 2005, Pages 652-667
نویسندگان
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