Wan-lan Wang

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By means of the theory of majorization and under the proper hypotheses, the following inequalities of Jensen-Pečarić-Svrtan-Fan (Abbreviated as J-P-S-F) type are established: f (A(x)) g(A(x)) · · · fk+1,n(x) gk+1,n(x) fk,n(x) gk,n(x) · · · A( f (x)) A(g(x)) , where fk,n(x) := 1 (k) ∑ 1 i1<···<ik n f ( xi1 + · · ·+ xik k ) , x ∈ [a,b] .
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