Approximate tri-quadratic functional equations via Lipschitz conditions
Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 337-344.
Voir la notice de l'article dans Czech Digital Mathematics Library
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.
DOI :
10.21136/MB.2017.0028-16
Classification :
39B52, 39B82
Mots-clés : tri-quadratic functional equation; Lipschitz space; stability
Mots-clés : tri-quadratic functional equation; Lipschitz space; stability
@article{10_21136_MB_2017_0028_16, author = {Nikoufar, Ismail}, title = {Approximate tri-quadratic functional equations via {Lipschitz} conditions}, journal = {Mathematica Bohemica}, pages = {337--344}, publisher = {mathdoc}, volume = {142}, number = {4}, year = {2017}, doi = {10.21136/MB.2017.0028-16}, mrnumber = {3739021}, zbl = {06819589}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0028-16/} }
TY - JOUR AU - Nikoufar, Ismail TI - Approximate tri-quadratic functional equations via Lipschitz conditions JO - Mathematica Bohemica PY - 2017 SP - 337 EP - 344 VL - 142 IS - 4 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0028-16/ DO - 10.21136/MB.2017.0028-16 LA - en ID - 10_21136_MB_2017_0028_16 ER -
%0 Journal Article %A Nikoufar, Ismail %T Approximate tri-quadratic functional equations via Lipschitz conditions %J Mathematica Bohemica %D 2017 %P 337-344 %V 142 %N 4 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0028-16/ %R 10.21136/MB.2017.0028-16 %G en %F 10_21136_MB_2017_0028_16
Nikoufar, Ismail. Approximate tri-quadratic functional equations via Lipschitz conditions. Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 337-344. doi : 10.21136/MB.2017.0028-16. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0028-16/
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