Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality (CROSBI ID 272319)
Prilog u časopisu | izvorni znanstveni rad
Podaci o odgovornosti
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
engleski
Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality
Some representations of Steffensen’s inequality are obtained by using Hermite interpolating polynomials. The obtained representations are used to prove new generalizations of Steffensen’s inequality for n−convex functions and to give some bounds for integrals in these representations.
Steffensen's inequality ; Hermite interpolating polynomial ; Green's function ; n-convex function
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Podaci o izdanju
22 (4)
2019.
1177-1191
objavljeno
1331-4343
1848-9966
10.7153/mia-2019-22-81