Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
نویسندگان
چکیده
In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
منابع مشابه
Schur–convexity, Schur Geometric and Schur Harmonic Convexities of Dual Form of a Class Symmetric Functions
By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic convexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones. Mathematics subject classification (2010): 26D15, 0...
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In this paper, the Schur-convexity, the Schur-geometric-convexity and the Schur-harmonicconvexity of dual form of the complete symmetric function are investigated. As consequences, some new inequalities are established via majorilization theory. Mathematics subject classification (2010): 26B25, 05E05.
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عنوان ژورنال:
دوره 5 شماره
صفحات -
تاریخ انتشار 2016