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Quadratic ρ-functional inequalities in β-homogeneous normed spaces
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نویسنده
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Park Choonkil ,Kim Sang Og ,Leec Jung Rye ,Shin Dong Yun
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منبع
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international journal of nonlinear analysis and applications - 2015 - دوره : 6 - شماره : 2 - صفحه:21 -26
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چکیده
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In [12], park introduced the quadratic ρ-functional inequalities ||f(x+y)+f(x-y)-2f(x)-2f(y)|| ≤ || ρ(2f (x+y)/2) + 2f (x+y)/2)- f(x) - f(y)||, where ρ is a fixed complex number with |ρ| < 1, and || ρ(2f (x+y)/2) + 2f (x+y)/2)- f(x) - f(y)|| ≤ ||f(x+y)+f(x-y)-2f(x)-2f(y)||, where ρ is a fixed complex number with |ρ| < 1/2. in this paper, we prove the hyers-ulam stability of the quadratic ρ-functional inequalities (0.1) and (0.2) in β-homogeneous complex banach spaces and prove the hyers-ulam stability of quadratic ρ-functional equations associated with the quadratic ρ-functional inequalities (0.1) and (0.2) in β- homogeneous complex banach spaces.
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کلیدواژه
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Hyers-Ulam stability ,β-homogeneous space ,quadratic ρ-functional equation ,quadratic ρ-functional inequality.
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آدرس
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Hanyang University, Research Institute for Natural Sciences, Department of Mathematics, Korea, Hallym University, Department of Mathematics, Korea, Daejin University, Department of Mathematics, Korea, University of Seoul, Department of Mathematics, Kore
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Authors
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