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On a Functional Equation Arising from Subcontrary Mean and Its Pertinences

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4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) (CMES 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1111))

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Abstract

Modelling equations involving functions is a powerful tool in many physical problems which do not require derivatives of function. The study of solution, stability and application of functional equations is an emerging field in the present scenario of research in abstract and applied mathematics. The purpose of this study is to deal with a new functional equation arising from subcontrary mean (harmonic mean) and its various fundamental stabilities relevant to Ulam’s ideology of stability and also its pertinences in different fields such as physics, finance, geometry and in other sciences. We illustrate a numerical example to relate the equation dealt in this study with the fuel economy in automobiles.

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Acknowledgment

The first and third authors are supported by The Research Council, Oman (Under Project proposal ID: BFP/RGP/CBS/18/099).

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Authors and Affiliations

  1. Department of Information Technology, Nizwa College of Technology, Nizwa, 611, Oman

    B. V. Senthil Kumar & Khalifa Al-Shaqsi

  2. Department of Mathematics, Gauhati University, Guwahati, 781 014, Assam, India

    Hemen Dutta

Authors
  1. B. V. Senthil Kumar
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  2. Hemen Dutta
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  3. Khalifa Al-Shaqsi
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Corresponding author

Correspondence to B. V. Senthil Kumar .

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Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. FSTE, Moulay Ismail University, Meknes, Morocco

    Zakia Hammouch

  3. Department of Mathematics, Fırat University, Elâzığ Merkez, Turkey

    Hasan Bulut

  4. Faculty of Education, Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

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Senthil Kumar, B.V., Dutta, H., Al-Shaqsi, K. (2020). On a Functional Equation Arising from Subcontrary Mean and Its Pertinences. In: Dutta, H., Hammouch, Z., Bulut, H., Baskonus, H. (eds) 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). CMES 2019. Advances in Intelligent Systems and Computing, vol 1111. Springer, Cham. https://doi.org/10.1007/978-3-030-39112-6_18

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  • DOI: https://doi.org/10.1007/978-3-030-39112-6_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39111-9

  • Online ISBN: 978-3-030-39112-6

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