Stability of Wilson's functional equations with involutions
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0262-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0262-x | ||
| 245 | 0 | 0 | |a Stability of Wilson's functional equations with involutions |h [Elektronische Daten] |c [Jaeyoung Chung, Prasanna Sahoo] |
| 520 | 3 | |a Let S be a commutative semigroup, $${\mathbb{C}}$$ C the set of complex numbers, $${\mathbb{R}^+}$$ R + the set of nonnegative real numbers, $${f, g : S \to \mathbb{C}\, \, {\rm and} \, \, \sigma : S \to S}$$ f , g : S → C and σ : S → S an involution. In this article, we consider the stability of the Wilson's functional equations with involution, namely $${f(x + y) + f(x + \sigma y) = 2f(x)g(y)}$$ f ( x + y ) + f ( x + σ y ) = 2 f ( x ) g ( y ) and $${f(x + y) + f(x + \sigma y) = 2g(x)f(y)}$$ f ( x + y ) + f ( x + σ y ) = 2 g ( x ) f ( y ) for all $${x, y \in S}$$ x , y ∈ S in the spirit of Badora and Ger (Functional equations—results and advances, pp 3-15, 2002). As consequences of our results, we obtain the superstability of functional equations studied by Chung etal. (J Math Anal Appl 138:208-292, 1989), Chavez and Sahoo (Appl Math Lett 24:344-347, 2011) and Houston and Sahoo (Appl Math Lett 21:974-977, 2008). | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a d'Alembert's functional equation |2 nationallicence | |
| 690 | 7 | |a involution |2 nationallicence | |
| 690 | 7 | |a stability |2 nationallicence | |
| 690 | 7 | |a Wilson's functional equation |2 nationallicence | |
| 700 | 1 | |a Chung |D Jaeyoung |u Department of Mathematics, Kunsan National University, 573-701, Kunsan, Republic of Korea |4 aut | |
| 700 | 1 | |a Sahoo |D Prasanna |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 749-763 |x 0001-9054 |q 89:3<749 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0262-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0262-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chung |D Jaeyoung |u Department of Mathematics, Kunsan National University, 573-701, Kunsan, Republic of Korea |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sahoo |D Prasanna |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 749-763 |x 0001-9054 |q 89:3<749 |1 2015 |2 89 |o 10 | ||