Stability of the entropy equation

• Autores: Eszter Gselmann
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 201-210
• Idioma: inglés
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• Resumen

  • In this paper we prove that the so-called entropy equation, i.e., H (x; y; z) = H (x + y; 0; z) + H (x; y; 0) is stable in the sense of Hyers and Ulam on the positive cone of R3, assuming that the function H is approximatively symmetric in each variable and approximatively homogeneous of degree ®, where ® is an arbitrarily ¯xed real number.