- Tytuł:
- Solution and Generalized Ulam-Hyers Stability of a Reciprocal Type Functional Equation in Non-Archimedean Fields
- Autorzy:
-
Kumar, B. V. Senthil
Ravi, K.
Rassias, J. M. - Powiązania:
- https://bibliotekanauki.pl/articles/1193002.pdf
- Data publikacji:
- 2016
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Generalized Hyers-Ulam stability
Reciprocal function
Reciprocal type functional equation - Opis:
- In this paper, we obtain the general solution of a reciprocal type functional equation of the type f(x+y)=f((k_1 x+k_2 y)/k)f((k_2 x+k_1 y)/k)/(f((k_1 x+k_2 y)/k)+f((k_2 x+k_1 y)/k) ) and investigate its generalized Ulam-Hyers stability in non-Archimedean fields where k>2, k_1 and k_2 are positive integers with k=k_1+k_2 and k_1≠k_2. We also establish Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation.
- Źródło:
-
World Scientific News; 2016, 31; 48-58
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł