ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS

ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS

We consider the Hyers-Ulam-Rassias stability problem ∥2u (기호) A/ 2 -u(기호) P_1 -u(기호) P_2 ∥≤ε (|x|^p +|y|^p), x, y ∈ R^n for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation (수식)≤ε (|x|^p +|y|^p), x, y ∈ R^n...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2011, 26(2), , pp.261-271
Hauptverfasser: Lee, Eun-Gu, Chung, Jae-Young
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:We consider the Hyers-Ulam-Rassias stability problem ∥2u (기호) A/ 2 -u(기호) P_1 -u(기호) P_2 ∥≤ε (|x|^p +|y|^p), x, y ∈ R^n for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation (수식)≤ε (|x|^p +|y|^p), x, y ∈ R^n for the function f : R^n → C. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2011.26.2.261