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ISSN : 1226-0657

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Vol.16 No.2
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APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.2, pp.179-186
Chung, Jae-Young
Chung,, J. (2009). APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(2), 179-186.
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Abstract

Generalizing the approximately convex function which is introduced by D.H. Hyers and S.M. Ulam we establish an approximately convex Schwartz distribution and prove that every approximately convex Schwartz distribution is an approximately convex function.

keywords
convex function, convex distribution, <tex> $\epsilon$</tex>-convex functions, <tex> $\epsilon$</tex>-convex distributions

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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