Pregled bibliografske jedinice broj: 1039487
Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality
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 (recenziran, članak, znanstveni)
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Naslov
Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
Izvornik
Mathematical inequalities & applications (1331-4343) 22
(2019), 4;
1177-1191
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen's inequality ; Hermite interpolating polynomial ; Green's function ; n-convex function
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
