Properties and characterizations of convex functions on time scales



Abstract

In this research we deal with algebraic properties and characterizations of convex functions in the context of a time scale; this notion of convexity has been studied for some other authors but the setting of properties are establish here. Moreover, characterizations, a separation theorem and an inequality of Jensen type for this class of functions are shown as well.


Keywords

time scales; convex functions; Jensen inequality

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Published : 2018-01-31


LaraT., MerentesN., RosalesE., & TineoA. (2018). Properties and characterizations of convex functions on time scales. Annales Mathematicae Silesianae, 32, 237-245. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/13923

Teodoro Lara  tlara@ula.ve
Departamento de Física y Matemáticas, Universidad de Los Andes, Venezuela  Venezuela, Bolivarian Republic of
Nelson Merentes 
Escuela de matemáticas, Universidad Central de Venezuela  Venezuela, Bolivarian Republic of
Edgar Rosales 
Departamento de Física y Matemáticas, Universidad de Los Andes, Venezuela  Venezuela, Bolivarian Republic of
Ambrosio Tineo 
Departamento de Física y Matemáticas, Universidad de Los Andes, Venezuela  Venezuela, Bolivarian Republic of



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