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Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality (CROSBI ID 272319)

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Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality // Mathematical inequalities & applications, 22 (2019), 4; 1177-1191. doi: 10.7153/mia-2019-22-81

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

Povezanost rada

Matematika

Poveznice
Indeksiranost