Functional inequalities in non-Archimedean normed spaces

Verfasser / Beitragende:
[Choonkil Park]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/3(2015-03-01), 353-366
Format:
Artikel (online)
ID: 60546152X
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024 7 0 |a 10.1007/s10114-015-4278-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4278-5 
100 1 |a Park  |D Choonkil  |u Research Institute for Natural Sciences, Hanyang University, 133-791, Seoul, Republic of Korea  |4 aut 
245 1 0 |a Functional inequalities in non-Archimedean normed spaces  |h [Elektronische Daten]  |c [Choonkil Park] 
520 3 |a In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Jordan-von Neumann functional equation  |2 nationallicence 
690 7 |a non-Archimedean normed space  |2 nationallicence 
690 7 |a Banach space  |2 nationallicence 
690 7 |a Hyers-Ulam stability  |2 nationallicence 
690 7 |a functional inequality  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 353-366  |x 1439-8516  |q 31:3<353  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4278-5  |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/s10114-015-4278-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Park  |D Choonkil  |u Research Institute for Natural Sciences, Hanyang University, 133-791, Seoul, Republic of Korea  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 353-366  |x 1439-8516  |q 31:3<353  |1 2015  |2 31  |o 10114