m-convex functions of higher order



Abstract

In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.


Keywords

m-convex functions; m-convex functions of higher order; m-difference operator; m-divided difference; positively homogeneous function

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Published : 2019-12-11


LaraT., MerentesN., & RosalesE. (2019). m-convex functions of higher order. Annales Mathematicae Silesianae, 34(2), 241-255. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13614

Teodoro Lara  tlara@ula.ve
Departamento de Física y Matemáticas, Universidad de Los Andes, Venezuela  Venezuela, Bolivarian Republic of
https://orcid.org/0000-0002-3028-1961
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



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