Extensions and improvements of Sherman’s and related inequalities for n-convex functions
| Autor: | Josip Pečarić, Slavica Ivelić Bradanović |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
green functions
Kantorovich inequality sherman inequality n-convex General Mathematics Ky Fan inequality majorization inequality fink identity jensen inequality 01 natural sciences Sherman inequality Majorization inequality Jensen inequality n-convex Green functions Fink identity Čebyčev functional Means 26d15 Calculus 0101 mathematics Mathematics Karamata's inequality Discrete mathematics Young's inequality lcsh:Mathematics 010102 general mathematics lcsh:QA1-939 010101 applied mathematics means čebyšev functional Convex function Jensen's inequality |
| Zdroj: | Open Mathematics, Vol 15, Iss 1, Pp 936-947 (2017) |
| ISSN: | 2391-5455 |
| DOI: | 10.1515/math-2017-0077 |
| Popis: | This paper gives extensions and improvements of Sherman’s inequality forn-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. |
| Databáze: | OpenAIRE |
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