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Study on Establishment and Proof of Inequality Based on Descending Dimension Method

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Advances in Intelligent, Interactive Systems and Applications (IISA 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 885))

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Abstract

In order to establish and prove the inequality easily, the descending dimension method is applied in it. The descending dimension method is applied to establish some inequalities, and the corresponding proof process is obtained. In addition the algorithm programmer is compiled. The descending dimension method can be applied in inequality research widely.

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References

  1. Lu, Y.: A dimension decreasing algorithm with generic program for automated inequality proving. Chin. High Technol. Lett. 7(7), 20–25 (1998)

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  2. Wen, J., Wang, W., Lu, Y.: The method of descending dimension for establishing inequalities (I). J. Southwest Univ. Natl. (Nat. Sci.) 29(5), 527–532 (2003)

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  3. Yang, H., Wen, J., Wang, W.: The method of descending dimension for establishing inequalities (II). J. Sichuan Univ. (Nat. Sci.) 44(4), 753–758 (2007)

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  4. Bartosz, K., Cheng, X., Kalita, P., Yu, Y., Zheng, C.: Rothe method for parabolic variational–hemivariational inequalities. J. Math. Anal. Appl. 423(2), 841–862 (2015)

    Article  MathSciNet  Google Scholar 

  5. Ledoux, M.: A (one-dimensional) free Brunn-Minkowski inequality. C. R. Math. 340(4), 301–304 (2005)

    Article  MathSciNet  Google Scholar 

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Acknowledgments

This work is supported by the Fund Project of Yangtze University College of Technology & Engineering (No. 2016KY05). In addition, the author would particularly like to thank the anonymous reviewers for helpful suggestion.

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Authors and Affiliations

  1. Basic Teaching Department, Yangtze University College of Technology and Engineering, Jingzhou, 434020, China

    Qingpeng Ran

Authors
  1. Qingpeng Ran
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Correspondence to Qingpeng Ran .

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Editors and Affiliations

  1. Department de Ciències de la Computació, Universitat Politècnica de Catalunya, Barcelona, Spain

    Fatos Xhafa

  2. Department of Computer Science and Engineering, Faculty of Engineering and Technology, SOA University, Bhubaneswar, Odisha, India

    Srikanta Patnaik

  3. Department of Business Systems and Analytics, La Salle University, Philadelphia, PA, USA

    Madjid Tavana

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Ran, Q. (2019). Study on Establishment and Proof of Inequality Based on Descending Dimension Method. In: Xhafa, F., Patnaik, S., Tavana, M. (eds) Advances in Intelligent, Interactive Systems and Applications. IISA 2018. Advances in Intelligent Systems and Computing, vol 885. Springer, Cham. https://doi.org/10.1007/978-3-030-02804-6_41

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