Bulletin of the Korean Mathematical Society
( Vol.42 NO.1 / 2005 )
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Title |
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Stability of a generalized quadratic functional equation with Jensen type(eng) |
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Author |
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Young Whan Lee |
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MSC |
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39B22, 39B72 |
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Publication |
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Page |
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57-73 Page |
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Abstract |
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1. Introduction
2. Solution of the equation (1)
3. Hyers-Ulam-Rassias stability of the equation (1)
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Own Status |
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Keyword |
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hyers-ulam-rassias stability, quadratic functional equation, Popoviciu functional equation |
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Note |
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Summary |
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In this paper we solve a generalized quadratic Jensen type functional equation
$$ align &m^2fleft(frac{x + y + z}{m}
ight) + f(x)+f(y)+f(z)\
&= n^2 left[fleft(frac{x + y}{n}
ight) + fleft(frac{y + z}{n}
ight) + fleft(frac{z +
x}{n}
ight)
ight] endalign $$
and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Gu{a}vruta. |
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Attach |
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DVI PDF |
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