CONSTRUCT INTEGRAL INEQUALITY FROM ALGEBRAIC INEQUALITY | Tuấn | TNU Journal of Science and Technology

CONSTRUCT INTEGRAL INEQUALITY FROM ALGEBRAIC INEQUALITY

About this article

Received: 24/02/20                Revised: 27/02/20                Published: 28/02/20

Authors

Le Anh Tuan Email to author, 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.

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References


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[2]. W. J. Kaczor , M. T. Nowak, Problems in Mathematical Analysis III. Real Numbers, Integration. American Mathematical Society, Providence, RI, 2003.

[3]. W. J. Kaczor , M. T. Nowak, Problems in Mathematical Analysis II. Real Numbers, Continuty and Differentiation. American Mathematical Society, Providence, RI, 2001.

[4]. D. S. Mitrinovic, Analytic Inequalities. Springer-Verlag, 1970.




DOI: https://doi.org/10.34238/tnu-jst.2020.02.2707

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