Geodesic
Relative strongly harmonic convex functions and their characterizations
Bin-Mohsin, Bandar 1 ; Aslam Noor, Muhammad 2 ; Noor, Khalida Inayat 3 ; Iftikhar, Sabah3
1 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
2 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, COMSATS Institute of Information Technology, Park Road,, Islamabad, Pakistan
3 Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 9, p. 1070-1076.

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

In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary non-negative function, which is called the strongly general harmonic convex function. We discuss some characterizations of strongly general harmonic convex functions. Relationship with other classes of convex functions are also discussed. Some special cases are discussed as applications of the main results. The ideas and techniques of this paper may be starting point for further research.
DOI : 10.22436/jnsa.011.09.05
Classification : 26D15, 26A51, 90C23
Keywords: Harmonic convex function, strongly harmonic convex function, strongly general convex functions

Bin-Mohsin, Bandar  1 ; Aslam Noor, Muhammad  2 ; Noor, Khalida Inayat  3 ; Iftikhar, Sabah 3

1 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
2 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, COMSATS Institute of Information Technology, Park Road,, Islamabad, Pakistan
3 Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan 
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Bin-Mohsin, Bandar ; Aslam Noor, Muhammad ; Noor, Khalida Inayat ;  Iftikhar, Sabah. Relative strongly harmonic convex functions and their characterizations. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 9, p. 1070-1076. doi : 10.22436/jnsa.011.09.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.09.05/

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