Some Properties of Generalized Strongly Harmonic Convex Functions

2018 International Journal of Analysis and Applications  
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
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doi:10.28924/2291-8639-16-2018-427 fatcat:rqillcv6engvdhilmqa5zqmony