A generalization of m-convexity and a sandwich theorem
Abstract
Functional inequalities generalizing m-convexity are considered. A result of a sandwich type is proved. Some applications are indicated.
Keywords
convexity; convexity with respect to a function; m-convexity; functional inequality; functional equation; sandwich theorem; a characterization of L^p-norm
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Departamento de Física y Matemáticas, Universidad de los Andes, N. U. “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of
Wydział Matematyki, Informatyki i Ekonometrii, Uniwersytet Zielonogórski Poland
Escuela de matemáticas, Universidad Central de Venezuela Venezuela, Bolivarian Republic of
Departamento de Física y Matemáticas, Universidad de los Andes, N. U. “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of
Instytut Matematyki, Politechnika Częstochowska Poland
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