In this paper, we take account of the stability for higher ring derivations in fuzzy Banach algebras. [ABSTRACT FROM AUTHOR]
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Posts Tagged ‘FUNCTIONAL equations’
In this paper, we take account of the stability for higher ring derivations in fuzzy Banach algebras. [ABSTRACT FROM AUTHOR]
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July 14, 2012 Tags: BANACH algebras, FUNCTIONAL equations, FUZZY sets, GENERALIZATION, HOMOMORPHISMS (Mathematics), MAPPINGS (Mathematics), STABILITY
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The aim of this paper is to derive several interesting properties of a new class denoted by Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. consisting of analytic functions with negative coefficients for which coefficient inequalities, distortion theorems, closure theorems are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. are studied. The results are obtained using a generalized Sălăgean operator and they are improvement of a known results. [ABSTRACT FROM AUTHOR]
Read MoreJuly 14, 2012 Tags: BINOMIAL coefficients, DATA analysis, FUNCTIONAL equations, GRAPH theory, HADAMARD matrices, MATHEMATICAL analysis
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Using the fixed point method, we prove the Hyers-Ulam stability of the following generalized Jensen quadratic funtional equation f ( x + y / r + sz ) + f ( x + y / r – sz ) + f ( x – y / r + sz ) + f (x – y / r – sz ) = 4 / r² f (x) + 4 / r² f (y) + 4s² f (z) in fuzzy Banach spaces. [ABSTRACT FROM AUTHOR]
Read MoreJuly 12, 2012 Tags: BANACH spaces, EQUATIONS, FIXED point theory, FUNCTIONAL equations, FUNCTIONS of complex variables, FUZZY sets, GENERALIZATION, Quadratic
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Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the additive functional equation Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. for all m ∈ ℕ with m ≥ 2. [ABSTRACT FROM AUTHOR]
Read MoreJuly 10, 2012 Tags: ADDITIVE functions, BANACH algebras, FIXED point theory, FUNCTIONAL equations, GENERALIZATION, HOMOMORPHISMS (Mathematics), STABILITY
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Eshaghi Gordji and Bodaghi [2] proved the Hyers-Ulam stability of quadratic double centralizers on Banach algebras for the system of the functional equations f(kx + y) + f(kx – y) = 2k² f(x) + 2f(y) & f(xy) = f(x)y for a fixed integer k greater than 1. One can easily show that all the quadratic double centralizers (L, R) in the results are (0,0). The results are trivial. In this paper, we correct the results. Using the direct method, we prove the Hyers-Ulam stability of quadratic double centralizers on Banach algebras for the system of the functional equations f(kx + y) + f(kx – y) = 2k² f(x) + 2f(y) & f(xy) = f(x)y² for a fixed integer k greater than 1. [ABSTRACT FROM AUTHOR]
Read MoreJuly 9, 2012 Tags: BANACH algebras, EQUATIONS, FUNCTION algebras, FUNCTIONAL equations, MATHEMATICAL proofs, Natural, NUMBERS, NUMERICAL analysis, Quadratic
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In this paper, we prove the generalized Hyers-Ulam stability of the following Cauchy-Jensen functional inequality Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. in the class of mappings from normed spaces to Banach spaces and non-Archimedean Banach spaces. [ABSTRACT FROM AUTHOR]
Read MoreJuly 8, 2012 Tags: DATA analysis, FUNCTIONAL equations, GRAPH theory, INEQUALITIES (Mathematics), MAPPINGS (Mathematics), MATHEMATICAL analysis
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A new weighted bivariate blending rational spline with parameters is constructed based on function values of a function only. The interpolation is C¹ in the whole interpolating region under the condition which free parameters is not limited. This paper deals with the properties of the interpolation surface, including the properties of basis function, the properties of integral weighted coefficients and bounded property of the interpolation. In order to meet the needs of practical design, an interpolation technique is employed to control the shape of surfaces. The method of value control of the interpolation at any point in the interpolating region is developed. This control method can be applied to modify the local shape of an interpolating surface by selecting suitable parameters simply. [ABSTRACT FROM AUTHOR]
Read MoreJuly 8, 2012 Tags: BINOMIAL coefficients, COMPUTER-aided design, FUNCTIONAL equations, INTERPOLATION, MATHEMATICAL models, MATHEMATICAL proofs, NUMERICAL analysis
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