In this paper we establish the general solution of the functional equation f(2x + y) + f(x − 2y) = 2f(x + y) + 2f(x− y) + f(−x) + f(−y) and investigate the Hyers–Ulam–Rassias stability of this equation in quasi- Banach spaces. The conc...
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https://www.riss.kr/link?id=A103867929
Abbas Najati (University of Mohaghegh Ardabili, Iran) ; Fridoun Moradlou (University of Tabriz, Iran)
2009
English
KCI등재
학술저널
1177-1194(18쪽)
1
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper we establish the general solution of the functional equation f(2x + y) + f(x − 2y) = 2f(x + y) + 2f(x− y) + f(−x) + f(−y) and investigate the Hyers–Ulam–Rassias stability of this equation in quasi- Banach spaces. The conc...
In this paper we establish the general solution of the functional
equation
f(2x + y) + f(x − 2y) = 2f(x + y) + 2f(x− y) + f(−x) + f(−y)
and investigate the Hyers–Ulam–Rassias stability of this equation in quasi-
Banach spaces. The concept of Hyers-Ulam-Rassias stability originated
from Th. M. Rassias’ stability theorem that appeared in his paper: On the
stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.
72 (1978), 297–300.
다국어 초록 (Multilingual Abstract)
In this paper we establish the general solution of the functional equation f(2x + y) + f(x − 2y) = 2f(x + y) + 2f(x− y) + f(−x) + f(−y) and investigate the Hyers–Ulam–Rassias stability of this equation in quasi- Banach spaces. The concept ...
In this paper we establish the general solution of the functional
equation
f(2x + y) + f(x − 2y) = 2f(x + y) + 2f(x− y) + f(−x) + f(−y)
and investigate the Hyers–Ulam–Rassias stability of this equation in quasi-
Banach spaces. The concept of Hyers-Ulam-Rassias stability originated
from Th. M. Rassias’ stability theorem that appeared in his paper: On the
stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.
72 (1978), 297–300.
참고문헌 (Reference)
1 Th.M. Rassias, "What is left of Hyers–Ulam stabilirty?" 1 : 65-69, 1992
2 S.-M. Jung, "Ulam’s problem for approximate homomorphisms in connection with Bernoulli’s differential equation" 187 : 223-227, 2007
3 K. Jun, "Ulam stability problem for a mixed type of cubic and additive functional equation" 13 : 271-285, 2006
4 Th.M.Rassias, "Topics in Mathematical Analysis" World Scientific Publishing Co 1989
5 V.A. Faizev, "The space of ( , )-additive mappings on semigroups" 354 (354): 4455-4472, 2002
6 A. Grabiec, "The generalized Hyers-Ulam stability of a class of functional equations" 48 : 217-235, 1996
7 C. Park, "Stability of functional inequalities associated with Jordanvon Neumann type additive functional equations" 2007
8 M.S. Moslehian, "Stability of functional equations in Non-Archimedean spaces" 1 : 325-334, 2007
9 A. Najati, "Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces" 337 : 399-415, 2008
10 Th.M. Rassias, "Stability of Mappings of Hyers–Ulam Type" Hadronic Press Inc 1994
1 Th.M. Rassias, "What is left of Hyers–Ulam stabilirty?" 1 : 65-69, 1992
2 S.-M. Jung, "Ulam’s problem for approximate homomorphisms in connection with Bernoulli’s differential equation" 187 : 223-227, 2007
3 K. Jun, "Ulam stability problem for a mixed type of cubic and additive functional equation" 13 : 271-285, 2006
4 Th.M.Rassias, "Topics in Mathematical Analysis" World Scientific Publishing Co 1989
5 V.A. Faizev, "The space of ( , )-additive mappings on semigroups" 354 (354): 4455-4472, 2002
6 A. Grabiec, "The generalized Hyers-Ulam stability of a class of functional equations" 48 : 217-235, 1996
7 C. Park, "Stability of functional inequalities associated with Jordanvon Neumann type additive functional equations" 2007
8 M.S. Moslehian, "Stability of functional equations in Non-Archimedean spaces" 1 : 325-334, 2007
9 A. Najati, "Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces" 337 : 399-415, 2008
10 Th.M. Rassias, "Stability of Mappings of Hyers–Ulam Type" Hadronic Press Inc 1994
11 D.H. Hyers, "Stability of Functional Equations in Several Variables" Birkh¨auser 1998
12 P.W. Cholewa, "Remarks on the stability of functional equations" 27 : 76-86, 1984
13 Pl. Kannappan, "Quadratic functional equation and inner product spaces" 27 : 368-372, 1995
14 S. Czerwik, "On the stability of the quadratic mapping in normed spaces" 62 : 59-64, 1992
15 Th.M. Rassias, "On the stability of the linear mapping in Banach spaces" 72 : 297-300, 1978
16 C. Park, "On the stability of the linear mapping in Banach modules" 275 : 711-720, 2002
17 D. H. Hyers, "On the stability of the linear functional equation" 27 : 222-224, 1941
18 Th.M. Rassias, "On the stability of functional equations and a problem of Ulam" 62 (62): 23-130, 2000
19 A. Najati, "On the stability of a quartic functional equation" 340 : 569-574, 2008
20 K. Jun, "On the Hyers–Ulam–Rassias stability of a Pexiderized quadratic inequality" 4 : 93-118, 2001
21 G. Isac, "On the Hyers–Ulam stability of -additive mappings" 72 : 131-137, 1993
22 P. Jordan, "On inner products in linear metric spaces" 36 : 719-723, 1935
23 J.M. Rassias, "On approximation of approximately linear mappings by linear mappings" 46 : 126-130, 1982
24 박춘길, "On a Generalized Trif's Mapping in Banach Modules over a$C^*$-Algebra" 대한수학회 43 (43): 323-356, 2006
25 H. Haruki, "New generalizations of Jensen’s functional equation" 123 : 495-503, 1995
26 S. Rolewicz, "Metric Linear Spaces" PWN-Polish Sci. Publ 1984
27 F. Skof, "Local properties and approximations of operators" 53 : 113-129, 1983
28 C. Park, "Isomorphisms Between Quasi-Banach Algebras" 28 (28): 353-362, 2007
29 C. Park, "Isometric additive mappings in quasi-Banach spaces" 12 (12): 377-385, 2007
30 C. Park, "Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras" 2006
31 S.-M. Jung, "Hyers–Ulam–Rassias Stability of Functional Equations in Mathematical Analysis" Hadronic Press lnc 2001
32 A. Najati, "Hyers–Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation" 335 : 763-778, 2007
33 A. Najati, "Hyers–Ulam Stability of an n-Apollonius type Quadratic Mapping" 14 (14): 755-774, 2007
34 C. Park, "Homomorphisms and derivations in proper JCQ -triples" 337 : 1404-1414, 2008
35 Y. Benyamini, "Geometric Nonlinear Functional Analysis" Colloq.Publ 2000
36 C. Baak, "Generalized additive mapping in Banach modules and isomorphisms between C -algebras" 314 : 150-161, 2006
37 Th.M. Rassias, "Functional Equations, Inequalities and Applications" Kluwer Academic Publishers Co 2003
38 J. Acz´el, "Functional Equations in Several Variables" Cambridge University Press 1989
39 P. Czerwik, "Functional Equations and Inequalities in Several Variables" World Scientific Publishing Company 2002
40 Th.M.Rassias, "Functional Equations and Inequalities" Kluwer Academic Publishers 2000
41 D. Amir, "Characterizations of Inner Product Spaces" Birkh¨auser 1986
42 D.H. Hyers, "Approximate homomorphisms" 44 : 125-153, 1992
43 K. Jun, "A generalization of the Hyers–Ulam–Rassias stability of the Pexiderized quadratic equations" 297 : 70-86, 2004
44 P. G˘avruta, "A generalization of the Hyers–Ulam–Rassias stability of approximately additive mappings" 184 : 431-436, 1994
45 S.M. Ulam, "A Collection of the Mathematical Problems" Interscience Publ 1960
HYBRID-TYPE SET-VALUED VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACES
MIXED TYPE SECOND-ORDER DUALITY WITH SUPPORT FUNCTION
A NOTE ON THE REFLECTION SYMMETRIES OF THE GENOCCHI POLYNOMIALS
MARK SEQUENCES IN TRIPARTITE MULTIDIGRAPHS
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2026 | 평가예정 | 재인증평가 신청대상 (재인증) | |
2020-01-01 | 평가 | 등재학술지 유지 (재인증) | |
2019-11-08 | 학회명변경 | 영문명 : The Korean Society For Computational & Applied Mathematics And Korean Sigcam -> Korean Society for Computational and Applied Mathematics | |
2017-01-01 | 평가 | 등재학술지 유지 (계속평가) | |
2013-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-02-18 | 학술지명변경 | 한글명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics외국어명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics | |
2008-02-15 | 학술지명변경 | 한글명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.)외국어명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-01-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1998-07-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.16 | 0.16 | 0.13 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.1 | 0.07 | 0.312 | 0.02 |