On the Hyers-Ulam-Rassias Stability of a Pexiderized Quadratic Equation II

Kil-Woung Jun () and Yang-Hi Lee ()
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Kil-Woung Jun: Chungnam National University, Department of Mathematics
Yang-Hi Lee: Kongju National University of Education, Department of Mathematics Education

Chapter Chapter 4 in Functional Equations, Inequalities and Applications, 2003, pp 39-65 from Springer

Abstract: Abstract In this paper we prove a generalization of the stability of the Pexiderized quadratic equations f 1(x + y + z) + f 2(x) + f 3(y) + f 4(z) − f 5(x + y) − f 6(y + z) − f 7(x + z) = 0 and f 1(x + y + z) + f 2(x-y + z) + f 3(x + y − z) + f 4(− x + y + z) − 4f 5(x) − 4f 6(y) − 4f 7(z) = 0 in the spirit of D.H. Hyers, S.M. Ulam, Th.M. Rassias and P. Gǎvruta. 2000 MSC: 39B72, 47H15(Primary) .

Keywords: Quadratic function; Pexiderized quadratic equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0225-6_4

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DOI: 10.1007/978-94-017-0225-6_4

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