Pregled bibliografske jedinice broj: 1069496
Generalizations of Ostrowski type inequalities via Hermite polynomials
Generalizations of Ostrowski type inequalities via Hermite polynomials // Journal of inequalities and applications, 2020 (2020), 176, 14 doi:10.1186/s13660-020-02441-6 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of Ostrowski type inequalities
via
Hermite polynomials
Autori
Kvesić, Ljiljanka ; Pečarić, Josip ; Ribičić Penava, Mihaela
Izvornik
Journal of inequalities and applications (1029-242X) 2020
(2020);
176, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Ostrowski type inequality ; Hermite polynomials ; Montgomery identity ; Grüss inequality
Sažetak
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable functions of class C^n. Also, we consider new bounds for the remainder of the obtained identities by using the Chebyshev functional and certain Grüss type inequalities for this functional. By applying those results we derive inequalities for the class of n-convex functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
