STABILITY OF A NEW FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
عنوان مقاله: STABILITY OF A NEW FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
شناسه ملی مقاله: AIMC38_174
منتشر شده در سی و هشتمین کنفرانس ریاضی ایران در سال 1386
شناسه ملی مقاله: AIMC38_174
منتشر شده در سی و هشتمین کنفرانس ریاضی ایران در سال 1386
مشخصات نویسندگان مقاله:
ABBAS NAJATI - Faculty of Science, Department of Mathematics, University Of Mohaghegh Ardebili, Ardebili, Iran.
FRIDOUN MORADLOU - Faculty of Mathematical science, University of tabriz, Iran
REZA AHMADI
خلاصه مقاله:
ABBAS NAJATI - Faculty of Science, Department of Mathematics, University Of Mohaghegh Ardebili, Ardebili, Iran.
FRIDOUN MORADLOU - Faculty of Mathematical science, University of tabriz, Iran
REZA AHMADI
In this paper we estabilish the general solution of the functional equation
f (2x+y) + f(x-2y) = 2f(x+y) + 2f(x-y) + f(-x) +f(-y)
and investigate the Hyers- Ulam- Rassias stability of this equation in quasi- Banach spaces. The concept of Hyers- Ulam- Rassias stability originated from Th. M. Rassias stability theorem that appeared in his: On the stability of the linear mapping in Banach spaces, Proc. Math. Soc. 72(1978), 297-300.
کلمات کلیدی: Hyers- Ulam- Rassias stability, Quadratic function, additive function, quasi-Banach space, p-Banach space
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/57026/