Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials
We obtain generalizations of Steffensen’s inequality by using Lidstone’s polynomials. Furthermore, the functionals associated with the obtained generalizations are used to generate n-exponentially and exponentially convex functions, as well as the new Stolarsky-type means.
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| Date: | 2015 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165913 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials / J. Pečarić, A. Perušić, K. Smoljak // Український математичний журнал. — 2015. — Т. 67, № 11. — С. 1525–1539. — Бібліогр.: 13 назв. — англ. |