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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Datum:2015
Hauptverfasser: Pečarić, J., Perušić, A., Smoljak, K.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2015
Schriftenreihe:Український математичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/165913
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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