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Extensions and improvements of Sherman’s and related inequalities forn-convex functions

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Bradanović S. I., Pečarić J.

Open Mathematics

2017

tom 15

nr 1

936-947

This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.

Ograniczanie wyników

1 Open Mathematics

1 Bradanović S. I.

1 Pečarić J.

1 2017

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Extensions and improvements of Sherman’s and related inequalities forn-convex functions