On a Drygas inequality

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Open Access

|Nov 2012

Abstract

The goal of the paper is to give sufficient conditions for which the solution to the Drygas inequality is continuous.

[1] DRYGAS, H.: Quasi-inner product and their applications, in: Advances in Multivariate Statistical Analysis, Pillai Mem., Theory Decis. Libr., Ser. B, Vol. 5, Reidel Publ. Co., Dordrecht, 1987, pp. 13-30.10.1007/978-94-017-0653-7_2
Search in Google Scholar
[2] EBANKS, B. R.-KANNAPPAN, PL.-SAHOO, P. K.: A common generalization of functionalequations characterizing normed and quasi-inner-product spaces, Canad. Math. Bull. 35 (1992), 321-327.10.4153/CMB-1992-044-6
Search in Google Scholar
[3] FAIZIEV, V. A.-SAHOO, P. K.: On Drygas functional equation on groups, Int. J. Appl. Math. Stat. 7 (2007), 59-69.
Search in Google Scholar
[4] FORTI, G. L.-SIKORSKA, J.: Variations on the Drygas equation and its stability, Nonlinear Anal. 74 (2011), 343-350.10.1016/j.na.2010.08.004
Search in Google Scholar
[5] KOMINEK, Z.-TROCZKA, K.: Continuity of real valued subquadratic functions, Comment. Math. 51 (2011), 71-75.
Search in Google Scholar
[6] JUNG, S.-M.-SAHOO, P. K.: Stability of a functional equation of Drygas, Aequationes Math. 64 (2002), 263-273.10.1007/PL00012407
Search in Google Scholar
[7] YANG, D.: Remark on the stability of Drygas’ equation and the Pexider quadratic equation, Aequationes Math. 68 (2004), 108-116. 10.1007/s00010-003-2722-6
Search in Google Scholar