A Functional Equation Originating from Elliptic Curves

The aim of this paper is to obtain the general solution to a reciprocal functional equation of the formf\left( {2x + y} \right) + f\left( {{{x + y} \over 2}} \right) = {{2f\left( x \right)f\left( y \right)} \over {f\left( x \right) + f\left( y \right)}} + {{2f\left( {x + y} \right)f\left( {y - x} \right)} \over {3f\left( {y - x} \right) - f\left( {x + y} \right)}} and to investigate its generalized Hyers-Ulam-Rassias stability.

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A Fixed Point Approach to the Stability of a Functional Equation

Park¹,

Bae²

2010

Kyungpook mathematical journal

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A Functional Equation Originating from Elliptic Curves

Abstract: We obtain the general solution and the stability of the functional equation . The function having level curves as elliptic curves is a solution of the above functional equation.

Cited by 3 publications

References 13 publications

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C^⋆‐Algebra

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C^⋆‐Algebra

A Fixed Point Approach to the Stability of a Functional Equation

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A Functional Equation Originating from Elliptic Curves

Abstract: We obtain the general solution and the stability of the functional equation . The function having level curves as elliptic curves is a solution of the above functional equation.

Cited by 3 publications

References 13 publications

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C⋆‐Algebra

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C⋆‐Algebra

A Fixed Point Approach to the Stability of a Functional Equation

Contact Info

Product

Resources

About

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C^⋆‐Algebra

Stability of a Bi‐Additive Functional Equation in Banach Modules Over a C^⋆‐Algebra