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

• Autorzy: Slavica Ivelić Bradanović , Josip Pečarić
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Sherman inequality; Majorization inequality; Jensen inequality; n-convex; Green functions; Fink identity; Čebyšev functional; Means

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 936-947

Daty

wydano

2017-01-01

otrzymano

2016-11-17

zaakceptowano

2017-05-29

online

2017-07-13

Twórcy

autor

Slavica Ivelić Bradanović

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autor

Josip Pečarić

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Identyfikatory

DOI

10.1515/math-2017-0077