کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599002 1631109 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hlawka–Popoviciu inequalities on positive definite tensors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Hlawka–Popoviciu inequalities on positive definite tensors
چکیده انگلیسی

We prove inequalities on symmetric tensor sums of positive definite operators. In particular, we prove multivariable operator inequalities inspired by generalizations to the well-known Hlawka and Popoviciu inequalities. As corollaries, we obtain generalized Hlawka and Popoviciu inequalities for determinants, permanents, and generalized matrix functions. The new operator inequalities and their corollaries contain a few recently published inequalities on positive definite matrices as special cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 486, 1 December 2015, Pages 317–327
نویسندگان
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