지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
LetX;Y be vector spaces. It is shown that if an evenmapping f :X ! Y satisesf(0) = 0 and(0.1)fx + y2+ z+ fx + y2z+ fx y2+ z+ fx y2z= f(x) + f(y) + 4 f(z)for allx;y;z2 X , then the mapping f :X ! Y is quadratic.Furthermore, we prove the Cauchy{Rassias stability of the func-tional equation (0.1) in Banach spaces.
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
/ 1984 / Remarks on the stability of functional equations
/ 1992 / On the stability of the quadratic mapping in normed spaces
/ 2003 / Hyers{Ulam{Rassias stability of a quadratic functional equation 40 : 253 ~ 267
/ 2005 / Generalized quadratic mappings of r-type in 310 : 116 ~ 127
Amer / 1978 / On the stability of the linear mapping in Banach spaces
/ 1992 / On the stability of the quadratic mapping in normed spaces
/ 2003 / Hyers{Ulam{Rassias stability of a quadratic functional equation 40 : 253 ~ 267
/ 2005 / Generalized quadratic mappings of r-type in 310 : 116 ~ 127
Amer / 1978 / On the stability of the linear mapping in Banach spaces
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Quadratic mappings associated with inner product spaces
한국수학논문집
2011 .01
-
Approximate additive mappings in $2$-Banach spaces and related topics: revisited
한국수학논문집
2015 .01
-
On the Generalized Hyers-Ulam-Rassias Stability for a FunctionalEquation of Two Types in p-Banach Spaces
Kyungpook Mathematical Journal
2008 .01
-
On the stability of a Cauchy-Jensen functional equation
대한수학회논문집
2008 .01
-
FUNCTIONAL EQUATIONS IN THREE VARIABLES
충청수학회지
2004 .01
-
STABILITY OF A GENERALIZED JENSEN TYPE QUADRATIC FUNCTIONAL EQUATIONS
충청수학회지
2007 .01
-
Several stability problems of a quadratic functional equation
대한수학회논문집
2011 .01
-
STABILITY OF A MIXED QUADRATIC AND ADDITIVE FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
Journal of applied mathematics & informatics
2009 .01
-
A Fixed Point Approach to the Stability of Quadratic Equations in Quasi Normed Spaces
Kyungpook Mathematical Journal
2009 .01
-
On the solution and stability of the quadratic type functional equations
대한수학회논문집
2004 .01
-
Stability of a quadratic functional equation in quasi--Banach spaces
대한수학회보
2008 .01
-
Stability of a Quadratic Jensen Type Functional Equation
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
2002 .01
-
Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces
순수 및 응용수학
2020 .01
-
On the Stability of the Quadratic Equation in Banach Modules over a Banach Algebra
Kyungpook Mathematical Journal
2004 .01
-
On the Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
2002 .01
-
ON THE QUADRATIC MAPPING IN GENERALIZED QUASI-BANACH SPACES
충청수학회지
2006 .01
-
Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach
한국수학논문집
2009 .01
-
A fixed point approach to the stability of quadratic functional equation
대한수학회보
2006 .01
-
The Asymptotic Behavior of Generalized Quadratic Mappings on Restricted Domains
순수 및 응용수학
2006 .01
-
A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS
대한수학회보
2010 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0