Asymptotic stability of the Cauchy and Jensen functional equations
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a new error term which is a constant multiple of...
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Published in | Acta mathematica Hungarica Vol. 150; no. 1; pp. 131 - 141 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
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Springer Netherlands
01.10.2016
Springer Nature B.V |
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Abstract | The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a new error term which is a constant multiple of the original error term. As consequences, we also obtain results of hyperstability character for these two functional equations. |
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AbstractList | The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a new error term which is a constant multiple of the original error term. As consequences, we also obtain results of hyperstability character for these two functional equations. |
Author | Páles, Zs Piszczek, M. Bahyrycz, A. |
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Cites_doi | 10.1090/S0002-9904-1951-09511-7 10.1090/S0002-9939-1978-0507327-1 10.1007/s10474-013-0347-3 10.2969/jmsj/00210064 10.1016/j.na.2011.06.052 10.1007/s000100050109 10.1007/BF01831117 10.1017/S1446181100008051 10.1007/BF03322226 10.1073/pnas.27.4.222 10.1090/S0002-9939-98-04680-2 10.1007/s00010-007-2892-8 10.1016/j.jmaa.2004.03.011 10.1007/s000100050058 10.1007/978-1-4612-1790-9 10.4064/ap-58-2-147-159 10.1073/pnas.95.22.12772 10.1142/4875 10.4064/ap-72-3-207-217 10.1007/978-3-662-38380-3 10.5486/PMD.1987.34.1-2.15 |
ContentType | Journal Article |
Copyright | Akadémiai Kiadó, Budapest, Hungary 2016 Copyright Springer Science & Business Media 2016 |
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References | Székelyhidi (CR27) 1987; 34 CR16 CR14 CR11 CR10 Rassias (CR24) 1978; 72 Forti (CR13) 2004; 295 Maligranda (CR19) 2008; 75 Aoki (CR1) 1950; 2 Brzdȩk, Chudziak, Páles (CR8) 2011; 74 Forti (CR12) 1995; 50 Bourgin (CR7) 1951; 57 CR6 CR28 Badora (CR2) 1993; 58 CR9 Hyers (CR15) 1941; 27 Nikodem, Páles, Wa̧sowicz (CR20) 1999; 72 CR25 Badora, Páles, Székelyhidi (CR4) 1999; 58 Jung (CR17) 1998; 126 CR23 CR22 CR21 Száz (CR26) 2013; 24 Bahyrycz, Piszczek (CR5) 2014; 142 Losonczi (CR18) 1996; 29 Badora, Ger, Páles (CR3) 2003; 44 A. Bahyrycz (629_CR5) 2014; 142 629_CR14 K. Nikodem (629_CR20) 1999; 72 Á. Száz (629_CR26) 2013; 24 629_CR16 629_CR11 629_CR10 D.H. Hyers (629_CR15) 1941; 27 T. Aoki (629_CR1) 1950; 2 R. Badora (629_CR4) 1999; 58 R. Badora (629_CR2) 1993; 58 D.G. Bourgin (629_CR7) 1951; 57 J. Brzdȩk (629_CR8) 2011; 74 L. Maligranda (629_CR19) 2008; 75 L. Losonczi (629_CR18) 1996; 29 629_CR6 R. Badora (629_CR3) 2003; 44 629_CR9 S.-M. Jung (629_CR17) 1998; 126 629_CR25 629_CR28 L. Székelyhidi (629_CR27) 1987; 34 629_CR22 629_CR21 629_CR23 Th.M. Rassias (629_CR24) 1978; 72 G.-L. Forti (629_CR12) 1995; 50 G.-L. Forti (629_CR13) 2004; 295 |
References_xml | – ident: CR22 – volume: 24 start-page: 77 year: 2013 end-page: 108 ident: CR26 article-title: An instructive treatment and some natural extensions of a set-valued function of Páles publication-title: Math. Pannon. contributor: fullname: Száz – ident: CR14 – ident: CR16 – volume: 58 start-page: 147 year: 1993 end-page: 159 ident: CR2 article-title: On some generalized invariant means and their application to the stability of the Hyers–Ulam type publication-title: Ann. Polon. Math. contributor: fullname: Badora – ident: CR10 – volume: 57 start-page: 223 year: 1951 end-page: 237 ident: CR7 article-title: Classes of transformations and bordering transformations publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1951-09511-7 contributor: fullname: Bourgin – ident: CR6 – volume: 72 start-page: 297 year: 1978 end-page: 300 ident: CR24 article-title: On the stability of the linear mapping in Banach spaces publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1978-0507327-1 contributor: fullname: Rassias – volume: 142 start-page: 353 year: 2014 end-page: 365 ident: CR5 article-title: Hyperstability of the Jensen functional equation publication-title: Acta Math. Hungar. doi: 10.1007/s10474-013-0347-3 contributor: fullname: Piszczek – volume: 34 start-page: 131 year: 1987 end-page: 135 ident: CR27 article-title: Remarks on Hyers’s theorem publication-title: Publ. Math. Debrecen contributor: fullname: Székelyhidi – ident: CR25 – ident: CR23 – ident: CR21 – volume: 2 start-page: 64 year: 1950 end-page: 66 ident: CR1 article-title: On the stability of the linear transformation in Banach spaces publication-title: J. Math. Soc. Japan doi: 10.2969/jmsj/00210064 contributor: fullname: Aoki – volume: 74 start-page: 6728 year: 2011 end-page: 6732 ident: CR8 article-title: A fixed point approach to stability of functional equations publication-title: Nonlinear Anal. doi: 10.1016/j.na.2011.06.052 contributor: fullname: Páles – volume: 58 start-page: 214 year: 1999 end-page: 222 ident: CR4 article-title: Monomial selections of set-valued maps publication-title: Aequationes Math. doi: 10.1007/s000100050109 contributor: fullname: Székelyhidi – volume: 72 start-page: 207 year: 1999 end-page: 217 ident: CR20 article-title: Abstract separation theorems of Rodé type and their applications publication-title: Ann. Polon. Math. contributor: fullname: Wa̧sowicz – volume: 50 start-page: 143 year: 1995 end-page: 190 ident: CR12 article-title: Hyers–Ulam stability of functional equations in several variables publication-title: Aequationes Math. doi: 10.1007/BF01831117 contributor: fullname: Forti – ident: CR11 – ident: CR9 – volume: 44 start-page: 323 year: 2003 end-page: 337 ident: CR3 article-title: Additive selections and the stability of the Cauchy functional equation publication-title: ANZIAM J. doi: 10.1017/S1446181100008051 contributor: fullname: Páles – volume: 29 start-page: 305 year: 1996 end-page: 310 ident: CR18 article-title: On the stability of Hosszú’s functional equation publication-title: Results Math. doi: 10.1007/BF03322226 contributor: fullname: Losonczi – volume: 27 start-page: 222 year: 1941 end-page: 224 ident: CR15 article-title: On the stability of the linear functional equation publication-title: Proc. Natl. Acad. Sci. U.S.A. doi: 10.1073/pnas.27.4.222 contributor: fullname: Hyers – volume: 126 start-page: 3137 year: 1998 end-page: 3143 ident: CR17 article-title: Hyers–Ulam–Rassias stability of Jensen’s equation and its application publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-98-04680-2 contributor: fullname: Jung – volume: 75 start-page: 289 year: 2008 end-page: 296 ident: CR19 article-title: A result of Tosio Aoki about a generalization of Hyers–Ulam stability of additive functions – a question of priority publication-title: Aequationes Math. doi: 10.1007/s00010-007-2892-8 contributor: fullname: Maligranda – ident: CR28 – volume: 295 start-page: 127 year: 2004 end-page: 133 ident: CR13 article-title: Comments on the core of the direct method for proving Hyers–Ulam stability of functional equations publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2004.03.011 contributor: fullname: Forti – ident: 629_CR21 doi: 10.1007/s000100050058 – ident: 629_CR16 doi: 10.1007/978-1-4612-1790-9 – volume: 74 start-page: 6728 year: 2011 ident: 629_CR8 publication-title: Nonlinear Anal. doi: 10.1016/j.na.2011.06.052 contributor: fullname: J. Brzdȩk – volume: 57 start-page: 223 year: 1951 ident: 629_CR7 publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1951-09511-7 contributor: fullname: D.G. Bourgin – ident: 629_CR25 – volume: 27 start-page: 222 year: 1941 ident: 629_CR15 publication-title: Proc. Natl. Acad. Sci. U.S.A. doi: 10.1073/pnas.27.4.222 contributor: fullname: D.H. Hyers – volume: 58 start-page: 147 year: 1993 ident: 629_CR2 publication-title: Ann. Polon. Math. doi: 10.4064/ap-58-2-147-159 contributor: fullname: R. Badora – volume: 24 start-page: 77 year: 2013 ident: 629_CR26 publication-title: Math. Pannon. contributor: fullname: Á. Száz – ident: 629_CR11 – ident: 629_CR28 – volume: 2 start-page: 64 year: 1950 ident: 629_CR1 publication-title: J. Math. Soc. Japan doi: 10.2969/jmsj/00210064 contributor: fullname: T. Aoki – volume: 44 start-page: 323 year: 2003 ident: 629_CR3 publication-title: ANZIAM J. doi: 10.1017/S1446181100008051 contributor: fullname: R. Badora – volume: 58 start-page: 214 year: 1999 ident: 629_CR4 publication-title: Aequationes Math. doi: 10.1007/s000100050109 contributor: fullname: R. Badora – ident: 629_CR22 doi: 10.1073/pnas.95.22.12772 – ident: 629_CR9 doi: 10.1142/4875 – volume: 295 start-page: 127 year: 2004 ident: 629_CR13 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2004.03.011 contributor: fullname: G.-L. Forti – volume: 72 start-page: 207 year: 1999 ident: 629_CR20 publication-title: Ann. Polon. Math. doi: 10.4064/ap-72-3-207-217 contributor: fullname: K. Nikodem – ident: 629_CR23 doi: 10.1007/978-3-662-38380-3 – volume: 50 start-page: 143 year: 1995 ident: 629_CR12 publication-title: Aequationes Math. doi: 10.1007/BF01831117 contributor: fullname: G.-L. Forti – volume: 75 start-page: 289 year: 2008 ident: 629_CR19 publication-title: Aequationes Math. doi: 10.1007/s00010-007-2892-8 contributor: fullname: L. Maligranda – volume: 142 start-page: 353 year: 2014 ident: 629_CR5 publication-title: Acta Math. Hungar. doi: 10.1007/s10474-013-0347-3 contributor: fullname: A. Bahyrycz – volume: 72 start-page: 297 year: 1978 ident: 629_CR24 publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1978-0507327-1 contributor: fullname: Th.M. Rassias – volume: 34 start-page: 131 year: 1987 ident: 629_CR27 publication-title: Publ. Math. Debrecen doi: 10.5486/PMD.1987.34.1-2.15 contributor: fullname: L. Székelyhidi – ident: 629_CR6 – volume: 126 start-page: 3137 year: 1998 ident: 629_CR17 publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-98-04680-2 contributor: fullname: S.-M. Jung – volume: 29 start-page: 305 year: 1996 ident: 629_CR18 publication-title: Results Math. doi: 10.1007/BF03322226 contributor: fullname: L. Losonczi – ident: 629_CR10 – ident: 629_CR14 |
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Title | Asymptotic stability of the Cauchy and Jensen functional equations |
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