Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces

• Autorzy: Liu Yachai , Yang Xiuzhong , Liu Guofen

Identyfikatory

DOI

10.1515/dema-2019-0015

• Języki publikacji: EN

Abstrakty

EN

In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x-2y) = 4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in non-Archimedean (n,β)-normed spaces.

Słowa kluczowe

EN

non-Archimedean (n,β)-normed space; Hyers-Ulam-Rassias stability; AQCQ functional equation

PL

przestrzeń unormowana; stabilność Hyersa-Ulama-Rassiasa; równanie funkcjonalne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 130--146
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Liu Yachai

• College of Mathematics and Information Science, Hebei Normal University, and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China

autor

Yang Xiuzhong

• College of Mathematics and Information Science, Hebei Normal University, and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China

autor

Liu Guofen

• College of Mathematics and Information Science, Hebei Normal University, and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).