On a Jensen-cubic functional equation and its Hyers-Ulam stability
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| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-5183-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-5183-7 | ||
| 245 | 0 | 0 | |a On a Jensen-cubic functional equation and its Hyers-Ulam stability |h [Elektronische Daten] |c [Pei Ji, Shu Zhou, Hai Xue] |
| 520 | 3 | |a In this paper, we obtain the general solution and stability of the Jensen-cubic functional equation $$f\left( {\frac{{{x_1} + {x_2}}}{2},{\kern 1pt} 2{y_1} + {y_2}} \right) + f\left( {\frac{{{x_1} + {x_2}}}{2},{\kern 1pt} 2{y_1} - {y_2}} \right)$$ = f(x 1, y 1+y 2)+f(x 1, y 1−y 2)+6f(x 1, y 1)+f(x 2, y 1+y 2) + f(x 2, y 1−y 2) + 6f(x 2, y 1). | |
| 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 Hyers-Ulam stability |2 nationallicence | |
| 690 | 7 | |a mixed cubic-quadric function |2 nationallicence | |
| 690 | 7 | |a Jensen-cubic functional equation |2 nationallicence | |
| 700 | 1 | |a Ji |D Pei |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |4 aut | |
| 700 | 1 | |a Zhou |D Shu |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |4 aut | |
| 700 | 1 | |a Xue |D Hai |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/12(2015-12-01), 1929-1940 |x 1439-8516 |q 31:12<1929 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-5183-7 |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/s10114-015-5183-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ji |D Pei |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhou |D Shu |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xue |D Hai |u College of Mathematics, Qingdao University, 266071, Qingdao, P. R. China |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 31/12(2015-12-01), 1929-1940 |x 1439-8516 |q 31:12<1929 |1 2015 |2 31 |o 10114 | ||