tailieunhanh - Construct integral inequality from algebraic inequality

Integral inequality is part of the inequality. This is a difficult content. It attracts many mathematicians interested in, research and development. Integral inequalities are widely used in optimization problems, calculus, differential equations, integral equations, etc. In this paper, using the order-preserving property of the limit, we describe the construction of some integral inequalities from some known algebraic inequalities. | ISSN 1859-2171 e-ISSN 2615-9562 TNU Journal of Science and Technology 225 02 65 - 70 CONSTRUCT INTEGRAL INEQUALITY FROM ALGEBRAIC INEQUALITY Le Anh Tuan Ha Noi University of Industry ABSTRACT Integral inequality is part of the inequality. This is a difficult content. It attracts many mathematicians interested in research and development. Integral inequalities are widely used in optimization problems calculus differential equations integral equations etc. In this paper using the order-preserving property of the limit we describe the construction of some integral inequalities from some known algebraic inequalities. Keywords Inequality integral inequality algebra inequality integrable limits. Received 24 02 2020 Revised 27 02 2020 Published 28 02 2020 XÂY DỰNG BẤT ĐẲNG THỨC TÍCH PHÂN TỪ BẤT ĐẲNG THỨC ĐẠI SỐ Lê Anh Tuấn Trường Đại học Công nghiệp Hà Nội TÓM TẮT Bất đẳng thức tích phân là một phần trong nội dung bất đẳng thức. Đây là một nội dung khó. Nó thu hút được nhiều nhà toán học quan tâm nghiên cứu và phát triển. Bất đẳng thức tích phân được sử dụng nhiều trong các bài toán tối ưu giải tích phương trình vi phân phương trình tích phân. Trong bài báo này bằng việc sử dụng tính chất bảo tồn thứ tự của giới hạn chúng tôi mô tả việc xây dựng một số bất đẳng thức tích phân từ một số bất đẳng thức đại số đã biết. Từ khóa bất đẳng thức tích phân đại số khả tích giới hạn. Ngày nhận bài 24 02 2020 Ngày hoàn thiện 27 02 2020 Ngày đăng 28 02 2020 Email tuansl83@ https http Email jst@ 65 1 Method description In this section we describe the method to construct integral inequalities from algebraic inequalities. We recall the definition of integrable function on closed interval a b . Definition 1. Let f x definite on a b . By a partition of a b we mean a finite set of points a to ti tn b. On each interval ti-1 ti we choose xi i 1 . n . Let ỗi ti ti_i. Put n S X f Xi ỗi i 1 and A max ỗi. If the limits lim S .

• Giáo dục học
• Construct integral inequality from algebraic inequality
• Construct integral inequality
• The order preserving property of the limit
• Known algebraic inequalities
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