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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (DEPARTMENT OF MATHEMATICS, KUNSAN NATIONAL UNIVERSITY)

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

참고문헌

1.

(1998). . J. Math. Anal. Appl., 223, 334-346.

2.

(1952). . Duke Math. J., 19, 499-504.

3.

4.

5.

(1954). . Proc. Amer. Math. Soc., 3, 821-828.

6.

7.

8.

(2003). . Applied Mathematics Letters, 16, 669-673.

9.

10.

(1984). . Aequationes Math., 27, 76-86.

한국수학교육학회지시리즈B:순수및응용수학