Approximate tri-quadratic functional equations via Lipschitz conditions
Mathematica Bohemica (2017)
- Volume: 142, Issue: 4, page 337-344
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
topNikoufar, Ismail. "Approximate tri-quadratic functional equations via Lipschitz conditions." Mathematica Bohemica 142.4 (2017): 337-344. <http://eudml.org/doc/294215>.
@article{Nikoufar2017,
abstract = {In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.},
author = {Nikoufar, Ismail},
journal = {Mathematica Bohemica},
keywords = {tri-quadratic functional equation; Lipschitz space; stability},
language = {eng},
number = {4},
pages = {337-344},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximate tri-quadratic functional equations via Lipschitz conditions},
url = {http://eudml.org/doc/294215},
volume = {142},
year = {2017},
}
TY - JOUR
AU - Nikoufar, Ismail
TI - Approximate tri-quadratic functional equations via Lipschitz conditions
JO - Mathematica Bohemica
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 4
SP - 337
EP - 344
AB - In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
LA - eng
KW - tri-quadratic functional equation; Lipschitz space; stability
UR - http://eudml.org/doc/294215
ER -
References
top- Czerwik, S., Dłutek, K., 10.1016/j.jmaa.2003.12.034, J. Math. Anal. Appl. 293 (2004), 79-88. (2004) Zbl1052.39030MR2052533DOI10.1016/j.jmaa.2003.12.034
- Ebadian, A., Ghobadipour, N., Nikoufar, I., Gordji, M. Eshaghi, 10.4208/ata.2014.v30.n4.2, Anal. Theory Appl. 30 (2014), 354-362. (2014) Zbl1340.39040MR3303361DOI10.4208/ata.2014.v30.n4.2
- Jung, S.-M., Sahoo, P. K., Hyers-Ulam stability of the quadratic equation of Pexider type, J. Korean Math. Soc. 38 (2001), 645-656. (2001) Zbl0980.39023MR1826928
- Lee, J. R., Jang, S.-Y., Park, C., Shin, D. Y., 10.1155/2010/412160, Adv. Difference Equ. 2010 (2010), Article ID 412160, 16 pages. (2010) Zbl1192.39021MR2652450DOI10.1155/2010/412160
- Nikoufar, I., Lipschitz approximation of the -quadratic functional equations, Mathematica (Cluj) - Tome 57 (2015), 67-74. (2015) MR3611703
- Nikoufar, I., 10.1007/s12215-014-0187-1, Rend. Circ. Mat. Palermo, Ser. 2 64 (2015), 171-176. (2015) Zbl1328.39046MR3371402DOI10.1007/s12215-014-0187-1
- Nikoufar, I., 10.1007/s12215-015-0222-x, Rend. Circ. Mat. Palermo, Ser. 2 65 (2016), 345-350. (2016) Zbl06643403MR3535460DOI10.1007/s12215-015-0222-x
- Nikoufar, I., 10.4134/CKMS.c150249, Commun. Korean Math. Soc 31 (2016), 819-825. (2016) Zbl1372.39032MR3570448DOI10.4134/CKMS.c150249
- Park, C.-G., 10.1016/S0022-247X(02)00387-6, J. Math. Anal. Appl. 276 (2002), 135-144. (2002) Zbl1017.39010MR1944341DOI10.1016/S0022-247X(02)00387-6
- Park, W.-G., Bae, J.-H., 10.1155/2010/472721, J. Inequal. Appl. (2010), Article ID 472721, 8 pages. (2010) Zbl1216.39039MR2665495DOI10.1155/2010/472721
- Skof, F., 10.1007/BF02924890, Rend. Sem. Mat. Fis. Milano 53 (1983), 113-129 Italian. (1983) Zbl0599.39007MR0858541DOI10.1007/BF02924890
- Tabor, J., 10.1007/BF03322533, Result. Math. 32 (1997), 133-144. (1997) Zbl0890.39023MR1464682DOI10.1007/BF03322533
- Tabor, J., 10.1007/BF03322824, Result. Math. 35 (1999), 355-379. (1999) Zbl0929.39015MR1694913DOI10.1007/BF03322824
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.