Quadratic ρ-functional inequalities in non-Archimedean normed spaces
作者： C. Park
DOI: 10.3103/S1068362315040044
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摘要: The paper is devoted to the solution of two quadratic ρ-functional inequalities and Hyers-Ulam stability these inequalities. Using direct method, we prove in non-Archimedean Banach spaces. equations associated with also established
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sci-hub.se 参考文章(19)
Janusz Brzdȩk, Hyperstability of the Cauchy equation on restricted domains Acta Mathematica Hungarica. ,vol. 141, pp. 58- 67 ,(2013) , 10.1007/S10474-013-0302-3
Donald H. Hyers, George Isac, Themistocles M. Rassias, Stability of functional equations in several variables ,(1998)
Stefan Czerwik, Functional equations and inequalities in several variables ,(2002)
Jürg Rätz, On inequalities associated with the Jordan-von Neumann functional equation Aequationes Mathematicae. ,vol. 66, pp. 191- 200 ,(2003) , 10.1007/S00010-003-2684-8
Włodzimierz Fechner, Stability of a functional inequality associated with the Jordan – von Neumann functional equation Aequationes Mathematicae. ,vol. 71, pp. 149- 161 ,(2006) , 10.1007/S00010-005-2775-9
Themistocles M. Rassias, On the stability of the linear mapping in Banach spaces Proceedings of the American Mathematical Society. ,vol. 72, pp. 297- 300 ,(1978) , 10.1090/S0002-9939-1978-0507327-1
D. H. Hyers, On the Stability of the Linear Functional Equation Proceedings of the National Academy of Sciences of the United States of America. ,vol. 27, pp. 222- 224 ,(1941) , 10.1073/PNAS.27.4.222
Fulvia Skof, Proprieta’ locali e approssimazione di operatori Rendiconti Del Seminario Matematico E Fisico Di Milano. ,vol. 53, pp. 113- 129 ,(1983) , 10.1007/BF02924890
Mohammad Sal Moslehian, Ghadir Sadeghi, A Mazur–Ulam theorem in non-Archimedean normed spaces Nonlinear Analysis: Theory, Methods & Applications. ,vol. 69, pp. 3405- 3408 ,(2008) , 10.1016/J.NA.2007.09.023
Tosio AOKI, On the Stability of the linear Transformation in Banach Spaces. Journal of The Mathematical Society of Japan. ,vol. 2, pp. 64- 66 ,(1950) , 10.2969/JMSJ/00210064