APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

Chung, Jae-Young; Chung, Jae-Young

P-ISSN1226-0657
E-ISSN2287-6081
KCI

Home

OA Policy

ISSN : 1226-0657

Article Contents

Prev Next

e-Submission

Vol.16 No.2

Citation Share

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.

copy

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

Reference

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

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

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

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

10.

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

바로가기메뉴

Article Contents

Vol.16 No.2

APPROXIMATELY CONVEX SCHWARTZ DISTRIBUTIONS

Abstract

Reference

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