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On the Stability of the Pexiderized Sine Functional Equation

In: Nonlinear Analysis

Author

Listed:
  • Xiaopeng Zhao

    (Hebei Normal University)

  • Xiuzhong Yang

    (Hebei Normal University)

Abstract

The aim of this paper is to study the stability of the Pexider type sine functional equation $$h(x)k(y)=f^2 \biggl(\frac{x+y}{2} \biggr)-g^2 \biggl(\frac{x+\sigma y}{2} \biggr). $$ We have also extended the results to the Banach algebra.

Suggested Citation

  • Xiaopeng Zhao & Xiuzhong Yang, 2012. "On the Stability of the Pexiderized Sine Functional Equation," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 861-873, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_43
    DOI: 10.1007/978-1-4614-3498-6_43
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