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Solution and stability of a general mixed type cubic and quartic functional equation
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نویسنده
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zhao x. ,yang x. ,pang c.-t.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We consider the following mixed type cubic and quartic functional equation [ f (x + y) + f (x - y) ] = 3 [ f (x + y) + f (x - y) ] - 2 3 ( + 1) f (y) - 2 ( 2 - 1) f (x) + 2 ( + 1) f ( y),where is a fixed integer. we establish the general solution of the functional equation when the integer ≠ 0,± 1,and then,by using the fixed point alternative,we investigate the generalized hyers-ulam-rassias stability for this functional equation when the integer ≥ 2. © 2013 xiaopeng zhao et al.
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آدرس
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department of mathematics,zhejiang university,hangzhou 310027,china,department of applied mathematics,national sun yat-sen university, Taiwan, college of mathematics and information science,hebei normal university,hebei key laboratory of computational mathematics and applications, China, department of information management,yuan ze university, Taiwan
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Authors
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