Inequalities of J-P-S-F type

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Inequalities of J-P-S-F type

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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P . W . Kent , J . a . Lucy Ant P . F . V

Lee, W. A. & Peacocke, A. R. (1951). J. chem. Soc. p. 3361. Lucy, J. A. & Kent, P. W. (1953). Research, Lond., 6, 49s. MacDonald, D. L. & Knight, C. A. (1953). J. biol. Chem. 202, 45. Markham, R. & Smith, J. D. (1949). Biochem. J. 45, 294. Mozingo, R. (1941). Org. Synth. 21, 15. Partridge, S. M. (1949). Nature, Lond., 164, 443. Pasternak, C. A. & Kent, P. W. (1952). Research, Lond., 5, 486. Sin...

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ژورنال

عنوان ژورنال: Journal of Mathematical Inequalities

سال: 2013

ISSN: 1846-579X

DOI: 10.7153/jmi-07-20