Tuesday 31 May 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-634
Full Name: Vichian Laohakosol
Position: Professor
Age: ON
Sex: Male
Address: Department of Mathematics, Kasetsart University, Bangkok 10900
Country: THAILAND
Tel: 5625444, 5625555 Ext. 4417
Tel prefix: 662
Fax: 662-9428038
E-mail address: fscivil@ku.ac.th
Other E-mails: charinthip@mathstat.sci.tu.ac.th, fsciwrcp@ku.ac.th
Title of the Paper: A stability result for a generalized trigonometric-quadratic functional equation with one unbounded function
Authors as they appear in the Paper: Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn
Email addresses of all the authors: charinthip@mathstat.sci.tu.ac.th, fscivil@ku.ac.th, yaba973@gmail.com
Number of paper pages: 13
Abstract: A generalized trigonometric-quadratic functional equation of the form F(x + y) - G(x - y) = 2H(x)K(y) + L(x) + M(y) over the domain of an abelian group and the range of the complex field is considered. Its stability is established based on the assumption that the function K is unbounded. Subject to certain natural conditions, explicit shapes of the functions H and K are determined. Several existing related results are derived as direct consequences.
Keywords: Abelian group, Additive function, Quadratic functional equation, Trigonometric functional equation, stability, Unboundedness
EXTENSION of the file: .pdf
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Organizer of the Session:
How Did you learn about congress: Functional Equations, Classical Analysis, Stability
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