Some Properties of Generalized Strongly Harmonic Convex Functions
In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions. We also discuss the sufficient co...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2018-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1685 |
| Summary: | In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions. We also discuss the sufficient conditions of optimality for unconstrained and inequality constrained programming under the generalized harmonic convexity. Several special cases are discussed as applications of our results. Ideas and techniques of this paper may motivate further research in different fields. |
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| ISSN: | 2291-8639 |