Stability of m-Jensen Functional Equations

Teodoro Lara; Nelson Merentes; Roy Quintero; Edgar Rosales

doi:10.9734/JAMCS/2017/30072

Research Article Open access CC BY 4.0

Stability of m-Jensen Functional Equations

Teodoro Lara, Nelson Merentes, Roy Quintero, Edgar Rosales

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 23 Aug 2017

10.9734/JAMCS/2017/30072

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.

Functional equation Jensen equation m-convex function Jensen m-convex function

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Teodoro Lara, Nelson Merentes, Roy Quintero, Edgar Rosales (2017). Stability of m-Jensen Functional Equations. Journal of Advances in Mathematics and Computer Science , 1–12. https://doi.org/10.9734/JAMCS/2017/30072

Affiliations

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

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