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Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables

Author

Listed:
  • Soon-Mo Jung

    (Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Korea)

  • Ji-Hye Kim

    (Department of Mathematics Education, Korea National University of Education, Cheongjusi, Chungbuk 28173, Korea)

Abstract

Using a theorem of Ulam and Hyers, we will prove the Hyers-Ulam stability of two-dimensional Lagrange’s mean value points ( η , ξ ) which satisfy the equation, f ( u , v ) − f ( p , q ) = ( u − p ) f x ( η , ξ ) + ( v − q ) f y ( η , ξ ) , where ( p , q ) and ( u , v ) are distinct points in the plane. Moreover, we introduce an efficient algorithm for applying our main result in practical use.

Suggested Citation

  • Soon-Mo Jung & Ji-Hye Kim, 2018. "Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables," Mathematics, MDPI, vol. 6(11), pages 1-8, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:216-:d:178101
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    References listed on IDEAS

    as
    1. Soon-Mo Jung, 2011. "Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis," Springer Optimization and Its Applications, Springer, number 978-1-4419-9637-4, March.
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