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Shin, D.Y.,Park, C.,Farhadabadi, S. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.17 No.4
In this paper, we prove the Hyers-Ulam stability of ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations associated with the following generalized Cauchy-Jensen functional equation:(p)Sigma(i)=f (1/k (p)Sigma(j=1j not equal 1) x(j) + x(i)) = p + k - 1/k (p)Sigma(i=1) f(x(i))by proving the generalization of Gavruta's theorem.
Some Identities for Bernoulli Polynomials Involving Chebyshev Polynomials
Kim, D.S.,Kim, T.,Lee, S.-H. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.16 No.1
In this paper we derive some new and interesting identities for Bernoulli, Euler and Hermite polynomials associated with Chebyshev polynomials.
Hyers-Ulam Stability of General Jensen Type Mappings
Park, C.,Lu, G.,Zhang, R.,Shin, D.Y. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.17 No.4
In this paper, we introduce general Jensen mappings of type I and II, and prove the Hyers-Ulam stability of these mappings.
An Additive Functional Inequality in Matrix Normed Modules Over A C<sup>*</sup>-Algebra
Kim, M.,Kim, Y.,Anastassiou, G.A.,Park, C. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.17 No.2
Using the direct method, we prove the Hyers-Ulam stability of an additive functional inequality in matrix normed modules over a C*-algebra.
A New Version of Mazur-Ulam Theorem Under Weaker Conditions in Linear n-Normed Spaces
Park, C.,Alaca, C. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.16 No.5
The purpose of this paper is to prove a new result of Mazur-Ulam theorem for n-isometry without any other conditions in linear n-normed spaces.
Solution and Stability of a Multi-Variable Functional Equation
Bae, J.-H.,Park, W.-G. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.16 No.5
We obtain some combinatorial identities and investigate the monomial functional equationSigma(h)(k=1) (-1)(k-1)[((n)(h-k)) - d((n)(h-k-1))][f(kx + y) + f(kx - y)]+n!(-1)(h)(1 + d)f(x) - ((n)(h))(1 - d)f(y) = 0,where h := {n/2, n : even and d := {0, n : even n+1/2, n : odd and d := {1, n : odd.