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Ulam-Hyers Stability of Trigonometric Functional Equation with Involution
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نویسنده
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chung j. ,choi c.-k. ,kim j.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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Let s and g be a commutative semigroup and a commutative group,respectively,c and r+ the sets of complex numbers and nonnegative real numbers,respectively,and σ:s→s or σ:g→g an involution. in this paper,we first investigate general solutions of the functional equation f(x+σy)=f(x)g(y)-g(x)f(y) for all x,y s,where f,g:s→c. we then prove the hyers-ulam stability of the functional equation; that is,we study the functional inequality |f(x+σy)-f(x)g(y)+g(x)f(y)|≤ψ(y) for all x,y g,where f,g:g→c and ψ:g→r+. © 2015 jaeyoung chung et al.
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آدرس
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department of mathematics,kunsan national university, South Korea, department of mathematics,chonbuk national university, South Korea, department of mathematics and institute of pure and applied mathematics,chonbuk national university, South Korea
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Authors
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