Some remarks on the stability of the multi-Jensen equation
Open Mathematics (2013)
- Volume: 11, Issue: 5, page 966-971
- ISSN: 2391-5455
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topJens Schwaiger. "Some remarks on the stability of the multi-Jensen equation." Open Mathematics 11.5 (2013): 966-971. <http://eudml.org/doc/269254>.
@article{JensSchwaiger2013,
abstract = {First a stability result of Prager-Schwaiger [Prager W., Schwaiger J., Stability of the multi-Jensen equation, Bull. Korean Math. Soc., 2008, 45(1), 133–142] is generalized by admitting more general domains of the involved function and by allowing the bound to be not constant. Next a result by Cieplinski [Cieplinski K., On multi-Jensen functions and Jensen difference, Bull. Korean Math. Soc., 2008, 45(4), 729–737] is discussed. Finally a characterization of the completeness of a normed space in terms of stability requirements for multi-Jensen functions is presented.},
author = {Jens Schwaiger},
journal = {Open Mathematics},
keywords = {Multi-Jensen functions; Stability; multi-Jensen equation; completeness; stability; Banach space},
language = {eng},
number = {5},
pages = {966-971},
title = {Some remarks on the stability of the multi-Jensen equation},
url = {http://eudml.org/doc/269254},
volume = {11},
year = {2013},
}
TY - JOUR
AU - Jens Schwaiger
TI - Some remarks on the stability of the multi-Jensen equation
JO - Open Mathematics
PY - 2013
VL - 11
IS - 5
SP - 966
EP - 971
AB - First a stability result of Prager-Schwaiger [Prager W., Schwaiger J., Stability of the multi-Jensen equation, Bull. Korean Math. Soc., 2008, 45(1), 133–142] is generalized by admitting more general domains of the involved function and by allowing the bound to be not constant. Next a result by Cieplinski [Cieplinski K., On multi-Jensen functions and Jensen difference, Bull. Korean Math. Soc., 2008, 45(4), 729–737] is discussed. Finally a characterization of the completeness of a normed space in terms of stability requirements for multi-Jensen functions is presented.
LA - eng
KW - Multi-Jensen functions; Stability; multi-Jensen equation; completeness; stability; Banach space
UR - http://eudml.org/doc/269254
ER -
References
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- [3] Cieplinski K., On multi-Jensen functions and Jensen difference, Bull. Korean Math. Soc., 2008, 45(4), 729–737 http://dx.doi.org/10.4134/BKMS.2008.45.4.729
- [4] Cieplinski K., Stability of the multi-Jensen equation, J. Math. Anal. Appl., 2010, 363(1), 249–254 http://dx.doi.org/10.1016/j.jmaa.2009.08.021 Zbl1211.39017
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- [8] Prager W., Schwaiger J., Multi-affine and multi-Jensen functions and their connection with generalized polynomials, Aequationes Math., 2005, 69(1–2), 41–57 http://dx.doi.org/10.1007/s00010-004-2756-4 Zbl1072.39025
- [9] Prager W., Schwaiger J., Stability of the multi-Jensen equation, Bull. Korean Math. Soc., 2008, 45(1), 133–142 http://dx.doi.org/10.4134/BKMS.2008.45.1.133 Zbl1151.39023
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