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Sandwich Type Results For m-Convex Real Functions

Teodoro Lara

Teodoro Lara

Departamento de Física y Matemáticas, Universidad de los AndesTrujillo,
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Lara, Teodoro
 and 
Edgar Rosales

Edgar Rosales

Departamento de Física y Matemáticas, Universidad de los AndesTrujillo,
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Rosales, Edgar
  
May 26, 2021
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Published Online: May 26, 2021
Page range: 250 - 259
Received: Oct 04, 2020
Accepted: Apr 14, 2021
DOI: https://doi.org/10.2478/amsil-2021-0006
Keywords
© 2021 Teodoro Lara et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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