논문KCI 등재
HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We give some results on hyperstability for the general linear equation. Namely, we show that a function satisfying the linear equation approximately (in some sense) must be actually the solution of it.
Abstract
We give some results on hyperstability for the general linear equation. Namely, we show that a function satisfying the linear equation approximately (in some sense) must be actually the solution of it.
참고문헌 (19)
- A. Bahyrycz, "Hyperstability of the Jensen functional equation", Acta Math. Hungar, 142(2), pp.353~365 (2014)
- J. Brzd¸ek, "Hyperstability of the Cauchy equation on restricted domains", Acta Math. Hungar, 41(1-2), pp.58~67 (2013)
- J. Brzd¸ek, "A fixed point approach to stability of functional equations", Nonlinear Anal, 74(17), pp.6728~6732 (2011)
- J. Brzd¸ek, "Hyperstability and Superstability", Abstr. Appl. Anal, 2013, pp.13~ (2013)
- J. Brzd¸ek, "A note on stability of the general linear equation", Aequationes Math, 75(3), pp.267~270 (2008)
- P. Gˇavrut¸a, "A generalization of the Hyers-Ulam-Rassias stability of approximately ad-ditive mapping", J. Math. Anal. Appl, 184(3), pp.431~436 (1994)
- P. Gˇavrut¸a, "Advances in Equations and Inequalities, Hadronic Math. Ser" (1999)
- D. H. Hyers, "Stability of Functional Equations in Several Variables" (1998), Birkh¨auser
- S. M. Jung, "Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis" (2001), Hadronic Press
- M. Kuczma, "An introduction to the Theory of Functional Equation and Inequalities" (1985), PWN
- P. Nakmahachalasint, "Hyers-Ulam-Rassias stability and Ulam-Gˇavrut¸a-Rassias stabili-ties of additive functional equation in several variables", Int. J. Math. Sci, 2007, pp.6~ (2007)
- M. Piszczek, "Remark on hyperstability of the general linear equation", Aequationes Math, 88(1-2), pp.163~168 (2014)
- D. Popa, "Hyers-Ulam-Rassias stability of the general linear equation", Nonlinear Funct. Anal. Appl, 7(4), pp.581~588 (2002)
- D. Popa, "On the stability of the general linear equation", Results Math, 53(3-4), pp.383~389 (2009)
- J. M. Rassias, "On approximation of approximately linear mappings", J. Funct. Anal, 46(1), pp.126~130 (1982)
- J. M. Rassias, "Solution of a problem of Ulam", J. Approx. Theory, 57(3), pp.268~273 (1989)
- K. Ravi, "On the Ulam-Gˇavrut¸a-Rassias stability of the orthogonally Euler-Lagrange type functional equation", Int. J. Appl. Math. Stat, 7, pp.143~156 (2007)
- K. Ravi, "Ulam-Gˇavrut¸a-Rassias stability of Rassias Reciprocal functional equation", Glob. J. App. Math. Sci, 3, pp.57~79 (2010)
- M. Ait Sibaha, "Ulam-Gˇavrut¸a-Rassias stability of a linear functional equation", Int. J. Appl. Math. Stat, 7, pp.157~166 (2007)
관련 논문AI추천
On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)정용수한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호STABILITY OF TRIGONOMETRIC TYPE FUNCTIONAL EQUATIONS IN RESTRICTED DOMAINS정재영한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS이영환한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Notes on the superstability of d'Alembert type functional equationsBing Xu, Peng Cao대한수학회 · 대한수학회보2009 · 제46권 제2호Stability of the multi-Jensen equationJens Schwaiger, Wolfgang Prager대한수학회 · 대한수학회보2008 · 제45권 제1호
이 간행물의 다른 논문 (21건)
A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITYCharinthip Hengkrawit, Anurak Thanyacharoenpp. 1759-1776ON THE LOWER SEMICONTINUITY OF THE SOLUTION SETS FOR PARAMETRIC GENERALIZED VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMSNguyen Van Hungpp. 1777-1795DISCRETE MEASURES WITH DENSE JUMPS INDUCED BY STURMIAN DIRICHLET SERIES권도용pp. 1797-1803ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONSKuppathai Appasamy Selvakumaran, Sunil Dutt Purohitpp. 1805-1818ON A MULTI-PARAMETRIC GENERALIZATION OF THE UNIFORM ZERO-TWO LAW IN L1-SPACESFarrukh Mukhamedovpp. 1819-1826
