On the Stability of the Pexiderized Sine Functional Equation

Xiaopeng Zhao () and Xiuzhong Yang ()
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Xiaopeng Zhao: Hebei Normal University
Xiuzhong Yang: Hebei Normal University

Chapter Chapter 43 in Nonlinear Analysis, 2012, pp 861-873 from Springer

Abstract: 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.

Keywords: Stability; Superstability; Sine functional equation; Trigonometric functional equation; 39B62; 39B82 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_43

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DOI: 10.1007/978-1-4614-3498-6_43

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