Pregled bibliografske jedinice broj: 914025
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 24 (2017), 3; 161-188 doi:10.1515/auom-2016-0053 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Autori
Khan, Asif R. ; Pečarić, Josip ; Praljak, Marjan
Izvornik
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica (1224-1784) 24
(2017), 3;
161-188
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
n-convex functions ; n-convex functions at a point ; Montgomery identity ; Čebyšev functional ; exponential convexity
Sažetak
Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums $\sum_{;i=1};^m p_i f(x_i)$, where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
