Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces

Abstract: We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f (x + y + z) + f (x + y − z) + f (x − y + z) + f (−x + y + z) = 4[f (x) + f (y) + f (z)] in the class of functions from an abelian group G into a Banach space.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces ; volume:51 ; number:1 ; year:2018 ; pages:295-303 ; extent:9
Demonstratio mathematica ; 51, Heft 1 (2018), 295-303 (gesamt 9)

Creator
Kim, Gwang Hui
El-Fassi, Iz-iddine
Park, Choonkil

DOI
10.1515/dema-2018-0027
URN
urn:nbn:de:101:1-2411181511182.410053163505
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:37 AM CEST

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Associated

  • Kim, Gwang Hui
  • El-Fassi, Iz-iddine
  • Park, Choonkil

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