Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables
Copyright policy )Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables
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.
- Hongik University Korea (Republic of)
- Korea National University of Education Korea (Republic of)
two-dimensional Lagrange’s mean value point, Lagrange’s mean value point, Stability, separation, extension, and related topics for functional equations, mean value theorem, Functional equations for real functions, two-dimensional Lagrange's mean value point, QA1-939, Computer Science and Mathematics, Hyers-Ulam stability, Analysis, Mathematics
two-dimensional Lagrange’s mean value point, Lagrange’s mean value point, Stability, separation, extension, and related topics for functional equations, mean value theorem, Functional equations for real functions, two-dimensional Lagrange's mean value point, QA1-939, Computer Science and Mathematics, Hyers-Ulam stability, Analysis, Mathematics
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