In this paper we establish the general solution and investigate the Hyers–Ulam–Rassias stability of the following functional equation in quasi-Banach spaces. [수식] where Iij = {1, 2, 3, 4}\{i, j} for all 1 ≤ i < j ≤ 4. The concept of H...
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https://www.riss.kr/link?id=A103361686
Abbas Najati (University of Mohaghegh Ardabili) ; Fridoun Moradlou (University of Tabriz)
2008
English
KCI등재,SCIE,SCOPUS
학술저널
587-600(14쪽)
6
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper we establish the general solution and investigate the Hyers–Ulam–Rassias stability of the following functional equation in quasi-Banach spaces. [수식] where Iij = {1, 2, 3, 4}\{i, j} for all 1 ≤ i < j ≤ 4. The concept of H...
In this paper we establish the general solution and investigate
the Hyers–Ulam–Rassias stability of the following functional equation in
quasi-Banach spaces. [수식] where Iij = {1, 2, 3, 4}\{i, j} for all 1 ≤ i < j ≤ 4. 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 and investigate the Hyers–Ulam–Rassias stability of the following functional equation in quasi-Banach spaces. [수식] where Iij = {1, 2, 3, 4}\{i, j} for all 1 ≤ i < j ≤ 4. The concept of...
In this paper we establish the general solution and investigate
the Hyers–Ulam–Rassias stability of the following functional equation in
quasi-Banach spaces. [수식] where Iij = {1, 2, 3, 4}\{i, j} for all 1 ≤ i < j ≤ 4. 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 A. Grabiec, "The generalized Hyers-Ulam stability of a class of functional equations" 48 (48): 217-235, 1996
2 A. Najati, "Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spa" 337 (337): 399-415, 2008
3 P. W. Cholewa, "Remarks on the stability of functional equations" 27 (27): 76-86, 1984
4 Pl. Kannappan, "Quadratic functional equation and inner product spaces" 27 (27): 368-372, 1995
5 S. Czerwik, "On the stability of the quadratic mapping in normed spaces" 62 : 59-64, 1992
6 Th. M. Rassias, "On the stability of the linear mapping in Banach spaces" 72 (72): 297-300, 1978
7 D. H. Hyers, "On the stability of the linear functional equation" 27 : 222-224, 1941
8 K. Jun, "On the Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality" 4 (4): 93-118, 2001
9 P. Jordan, "On inner products in linear, metric spaces" 36 (36): 718-723, 1935
10 S. Rolewicz, "Metric Linear Spaces, PWN—.Polish Scientific Publishers" D. Reidel Publishing Co. 1984
1 A. Grabiec, "The generalized Hyers-Ulam stability of a class of functional equations" 48 (48): 217-235, 1996
2 A. Najati, "Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spa" 337 (337): 399-415, 2008
3 P. W. Cholewa, "Remarks on the stability of functional equations" 27 (27): 76-86, 1984
4 Pl. Kannappan, "Quadratic functional equation and inner product spaces" 27 (27): 368-372, 1995
5 S. Czerwik, "On the stability of the quadratic mapping in normed spaces" 62 : 59-64, 1992
6 Th. M. Rassias, "On the stability of the linear mapping in Banach spaces" 72 (72): 297-300, 1978
7 D. H. Hyers, "On the stability of the linear functional equation" 27 : 222-224, 1941
8 K. Jun, "On the Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality" 4 (4): 93-118, 2001
9 P. Jordan, "On inner products in linear, metric spaces" 36 (36): 718-723, 1935
10 S. Rolewicz, "Metric Linear Spaces, PWN—.Polish Scientific Publishers" D. Reidel Publishing Co. 1984
11 F. Skof, "Local properties and approximation of operators" 53 : 113-129, 1983
12 Y. Benyamini, "Geometric Nonlinear Functional Analysis. Vol. 1" American Mathematical Society 2000
13 J. AczLel, "Functional Equations in Several Variables, With applications to mathematics, information theory and to the natural and social sciences. Encyclopedia of Mathematics and its Applications, 31" Cambridge University Press 1989
14 D. Amir, "Characterizations of inner product spaces, Operator Theory: Advances and Applications, 20" Birkhauser Verlag 1986
15 P. G˘.avruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings" 184 (184): 431-436, 1994
16 S. M. Ulam, "A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no 8" Interscience Publishers 1960
ON THE MINIMUM LENGTH OF SOME LINEAR CODES OF DIMENSION 6
ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS
WEAK FORMS OF SUBTRACTION ALGEBRAS
ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.1 | 0.27 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.2 | 0.339 | 0.04 |