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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality

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Listed:
  • Wei Wei
  • H. M. Srivastava
  • Yunyi Zhang
  • Lei Wang
  • Peiyi Shen
  • Jing Zhang

Abstract

Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions. Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality.

Suggested Citation

  • Wei Wei & H. M. Srivastava & Yunyi Zhang & Lei Wang & Peiyi Shen & Jing Zhang, 2014. "A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:797561
    DOI: 10.1155/2014/797561
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    Cited by:

    1. Muhammad Bilal Khan & Savin Treanțǎ & Mohamed S. Soliman & Kamsing Nonlaopon & Hatim Ghazi Zaini, 2022. "Some New Versions of Integral Inequalities for Left and Right Preinvex Functions in the Interval-Valued Settings," Mathematics, MDPI, vol. 10(4), pages 1-15, February.

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