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48-58

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- Department of Mathematics, C. Abdul Hakeem College of Engg. and Tech., Melvisharam - 632 509, Tamil Nadu, India

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- Pedagogical Department E.E., PG & Research Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, Tamil Nadu, India

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- Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4 Agamemnonos Str., Aghia Paraskevi, Athens, Attikis 15342, Greece

References

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- [2] J. Aczel, Functional Equations, History, Applications and Theory, D. Reidel Publ. Company, 1984.
- [3] C. Alsina, On the stability of a functional equation, General Inequalities, Vol. 5, Oberwol-fach, Birkhauser, Basel, (1987), 263-271.
- [4] T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2 (1950), 64-66.
- [5] A. Bodaghi and S.O. Kim, Approximation on the quadratic reciprocal functional equation, Journal of Function Spaces and Applications, Vol. 2014, Article ID532463, 5 pages.
- [6] A. Bodaghi and Y. Ebrahimdoost, On the stability of quadratic reciprocal functionalequation in non-Archimedean fields, Asian-European J. Math. (submitted).
- [7] B. Bouikhalene and E. Elquorachi, Ulam-Gavruta-Rassias stability of the Pexider functional equation, Int. J. Appl. Math. Stat., 7 (2007), 7-39.
- [8] I.S. Chang and H.M. Kim, On the Hyers-Ulam stability of quadratic functional equations, J. Ineq. Appl. Math. 33 (2002), 1-12.
- [9] I.S. Chang and Y.S. Jung, Stability of functional equations deriving from cubic andquadratic functions, J. Math. Anal. Appl. 283 (2003), 491-500.
- [10] S. Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific Publishing Co., Singapore, New Jersey, London, 2002.
- [11] M. Eshaghi Gordji, S. Zolfaghari, J.M. Rassias and M.B. Savadkouhi, Solutionand stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces, Abst. Appl. Anal. Vol. 2009, Article ID 417473 (2009), 1-14.
- [12] P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mapppings, J. Math. Anal. Appl. 184 (1994), 431-436.
- [13] N. Ghobadipour and C. Park, Cubic-quartic functional equations in fuzzy normed spaces, Int. J. Nonlinear Anal. Appl. 1 (2010), 12-21.
- [14] D.H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222-224.
- [15] D.H. Hyers, G. Isac and Th.M. Rassias, Stability of functional equations in severalvariables, Birkhauser, Basel, 1998.
- [16] S.M. Jung, Hyers-Ulam-Rassias stability of functional equations in Mathematical Analysis, Hardonic press, Palm Harbor, 2001.
- [17] Pl. Kannappan, Quadratic functional equation and inner product spaces, Results Math.27(3-4) (1995), 368-372.
- [18] J.R. Lee, D.Y. Shin and C. Park, Hyers-Ulam stability of functional equations in matrixnormed spaces, J. Inequ. Appl. 2013, 2013: 22.
- [19] E. Movahednia, Fixed point and generalized Hyers-Ulam-Rassias stability of a quadratic functional equation, J. Math. Comp. Sci., 6 (2013), 72-78.
- [20] A. Najati and Ch. Park, Cauchy-Jensen additive mappings in quasi-Banach algebras andits applications, J. Nonlinear Anal. Appl., 2013 (2013), 1-16.
- [21] J.M. Rassias, On approximation of approximately linear mappings by linear mappings, J. Funct. Anal. 46 (1982), 126-130.
- [22] K. Ravi, M. Arunkumar and J.M. Rassias, Ulam stability for the orthogonally generalEuler-Lagrange type functional equation, Int. J. Math. Stat. 3(A08) (2008), 36-46.
- [23] K. Ravi, J.M. Rassias, M. Arunkumar and R. Kodandan, Stability of a generalized mixed type additive, quadratic, cubic and quartic functional equation, J. Inequ. Pure & Appl. Math. 10(4) (2009), 1-29.
- [24] K. Ravi and B.V. Senthil Kumar, Ulam-Gavruta-Rassias stability of Rassias Reciprocal functional equation, Global J. of Appl. Math. and Math. Sci. 3(1-2) (Jan-Dec 2010), 57-79.
- [25] K. Ravi, J.M. Rassias and B.V. Senthil Kumar, Ulam stability of generalized reciprocal functional equation in several variables, Int. J. App. Math. Stat. 19(D10) (2010), 1-19.
- [26] K. Ravi, J.M. Rassias and B.V. Senthil Kumar, Ulam stability of reciprocal differenceand adjoint functional equations, Aust. J. Math. Anal. Appl. 8(1), Art. 13 (2011), 1-18.
- [27] K. Ravi, J.M. Rassias and B.V. Senthil Kumar, A fixed point approach to the generalized Hyers-Ulam stability of reciprocal difference and adjoint functional equations, Thai J. Math. 8(3) (2010), 469-481.
- [28] K. Ravi, J.M. Rassias, B.V. Senthil Kumar and A. Bodaghi, Intuitionistic fuzzy stability of a reciprocal-quadratic functional equation, Int. J. Appl. Sci. Math., 1(1) (2014), 9-14.
- [29] Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
- [30] S.M. Ulam, Problems in Modern Mathematics, Chapter VI, Wiley-Interscience, New York, 1964.
- [31] D.X. Zhou, On a conjecture of Z. Ditzian, J. Approx. Theory 69 (1992), 167-172.

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