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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.16 No.2

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APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.2, pp.179-186
Chung, Jae-Young (DEPARTMENT OF MATHEMATICS, KUNSAN NATIONAL UNIVERSITY)
Chung, Jae-Young. (2009). APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS. , 16(2), 179-186.

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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한국수학교육학회지시리즈B:순수및응용수학

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