Stability of m-Jensen Functional Equations
Teodoro Lara *
Departamento de Fsíca y Matemáticas, Universidad de los Andes, Trujillo, Venezuela
Nelson Merentes
Universidad Central de Venezuela, Escuela de Matemáticas Caracas, Venezuela.
Roy Quintero
Department of Mathematics, University of Iowa, Iowa City, USA.
Edgar Rosales
Departamento de Fsíca y Matemáticas, Universidad de los Andes, Trujillo, Venezuela
*Author to whom correspondence should be addressed.
Abstract
In this research we set a functional equation of Jensen type which comes from the so called Jensen m-convex inequality. We formulate and prove properties of its solutions and give a characterization of them under certain conditions as well. To close the article we have added a section on stability of this type of functional equation, which initially contains some results based on the work from Z. Kominek and nally a result supported on ideas from S. Jung.
Keywords: Functional equation, Jensen equation, m-convex function, Jensen m-convex function