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Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means

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  • Tie-Hong Zhao
  • Yu-Ming Chu
  • Yun-Liang Jiang
  • Yong-Min Li

Abstract

We prove that the double inequalities hold for all with if and only if , , , and , where , , , and are the identric, Neuman-Sándor, quadratic, and contraharmonic means of and , respectively.

Suggested Citation

  • Tie-Hong Zhao & Yu-Ming Chu & Yun-Liang Jiang & Yong-Min Li, 2013. "Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, March.
    • Handle: RePEc:hin:jnlaaa:348326
    DOI: 10.1155/2013/348326
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    Cited by:

    1. Hassan Shokouhandeh & Mehrdad Ahmadi Kamarposhti & Fariba Asghari & Ilhami Colak & Kei Eguchi, 2022. "Distributed Generation Management in Smart Grid with the Participation of Electric Vehicles with Respect to the Vehicle Owners’ Opinion by Using the Imperialist Competitive Algorithm," Sustainability, MDPI, vol. 14(8), pages 1-17, April.

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