바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

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

logo

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

ISSN : 1226-0657

논문 상세

이전 다음
논문 투고

Vol.17 No.3

Citation Share

ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION

ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.3, pp.231-247
Jun, Kil-Woung (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
Lee, Yang-Hi (DEPARTMENT OF MATHEMATICS EDUCATION, GONGJU NATIONAL UNIVERSITY OF EDUCATION)
Oh, Jeong-Ha (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
Jun, Kil-Woung, Lee, Yang-Hi, & Oh, Jeong-Ha. (2010). ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 17(3), 231-247.

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation <TEX>$4f(\frac{x\;+\;y}{2},\;\frac{z\;+\;w}{2})$</TEX> = f(x, z) + f(x, w) + f(y, z) + f(y, w). Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.

keywords
solution, stability, bi-Jensen mapping, functional equation

참고문헌

1.

Rassias, Themistocles M.. (1978). On the Stability of the Linear Mapping in Banach Spaces. Proceedings of the American Mathematical Society, 72(2), 297-300. 10.1090/S0002-9939-1978-0507327-1.

2.

3.

Jung, S.-M.. (1998). On the Hyers-Ulam Stability of the Functional Equations That Have the Quadratic Property. Journal of Mathematical Analysis and Applications, 222(1), 126-137. 10.1006/jmaa.1998.5916.

4.

(1995). . Results Math., 27, 368-372.

5.

Kim. (2001). . International Journal of Mathematics and Mathematical Sciences, 25(4), 217-229. 10.1155/S0161171201004707.

6.

(2008). (99-101). AIP Conf. Proc..

7.

Kim. (2002). . Proceedings Mathematical Sciences, 112(3), 453-462. 10.1007/BF02829797.

8.

Park, Chun-Gil. (2005). A generalized Jensen&rsquor;s mapping and linear mappings between Banach modules. Bulletin of the Brazilian Mathematical Society, New Series, 36(3), 333-362. 10.1007/s00574-005-0043-1.

9.

Park, W.G.;Bae, J.H.. (2006). On a Cauchy-Jensen functional equation and its stability. Journal of Mathematical Analysis and Applications, 323(1), 634-643. 10.1016/j.jmaa.2005.09.028.

10.

Bae, Jae-Hyeong;Park, Won-Gil. (2006). ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY. Bulletin of the Korean Mathematical Society, 43(3), 499-507. 10.4134/BKMS.2006.43.3.499.

11.

(2002). . Kyungpook Math. J., 42, 71-86.

12.

Jung, Soon-Mo. (1998). Hyers-Ulam-Rassias Stability of Jensen's Equation and Its Application. Proceedings of the American Mathematical Society, 126(11), 3137-3143. 10.1090/S0002-9939-98-04680-2.

13.

Gavruta, P.. (1994). A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings. Journal of Mathematical Analysis and Applications, 184(3), 431-436. 10.1006/jmaa.1994.1211.

14.

Hyers, D H. (1941). On the Stability of the Linear Functional Equation.. Proceedings of the National Academy of Sciences, 27(4), 222-224. 10.1073/pnas.27.4.222.

15.

(2008). . J. Math. Inequal., 2, 363-375.

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책