Geodesic
Quasi-arithmetic $F$-convex functions and their characterization
Adamek, Miroslaw 1
1 Department of Mathematics, University of Bielsko-Biala, ul. Willowa 2, 43-300 Bielsko-Biala, Poland
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 740-744.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we demonstrate that the results presented in the paper [B. Bin-Mohsin, M. A. Noor, K. I. Noor, S. Iftikhar, J. Nonlinear. Sci. Appl., $\bf 11$ (2018),1070--1076] are not true in general. Moreover, we give some new notions, which could be applied in type problems as in [B. Bin-Mohsin, M. A. Noor, K. I. Noor, S. Iftikhar, J. Nonlinear. Sci. Appl., $\bf 11$ (2018), 1070--1076].
DOI : 10.22436/jnsa.012.11.05
Classification : 26A51, 39B62, 15A63
Keywords: \(F\)-convex function, quasi-arithmetic \(F\)-convex function, quadratic function, quasi-arithmetic quadratic function

Adamek, Miroslaw  1

1 Department of Mathematics, University of Bielsko-Biala, ul. Willowa 2, 43-300 Bielsko-Biala, Poland 
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Adamek, Miroslaw . Quasi-arithmetic \(F\)-convex functions and their characterization. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 740-744. doi : 10.22436/jnsa.012.11.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.05/

[1] Adamek, M. On a problem connected with strongly convex functions, Math. Inequal. Appl., Volume 19 (2016), pp. 1287-1293

[2] Bin-Mohsin, B.; Noor, M. A.; Noor, K. I.; Iftikhar, S. Relative strongly harmonic convex functions and their characterizations, J. Nonlinear Sci. Appl., Volume 11 (2018), pp. 1070-1076

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