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Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial (CROSBI ID 219410)
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Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija
Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial // Khayyam journal of mathematics, 1 (2015), 1; 45-61
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Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija
engleski
Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial
In this paper generalizations of Steffensen's inequality using Abel-Gontscharoff interpolating polynomial are obtained. Moreover, in a special case generalizations by Abel-Gontscharoff polynomial reduce to known weaker conditions for Steffensen's inequality. Furthermore, Ostrowski type inequalities related to obtained generalizations are given.
Steffensen's inequality; Abel-Gontscharoff polynomial; Ostrowski type inequality; n-exponential convexity
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