Pregled bibliografske jedinice broj: 914007
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity // Journal of inequalities and applications, 2017 (2017), 1; 108, 17 doi:10.1186/s13660-017-1379-y (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity
Autori
Mehmood, Nasir ; Agarwal, Ravi P ; Butt, Saad Ihsan ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2017
(2017), 1;
108, 17
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Popoviciu’s inequality ; Montgomery identity ; Abel-Gontscharoff interpolating polynomial ; new Green’s functions ; Grüss upper bounds ; Ostrowski-type bounds
Sažetak
The inequality of Popoviciu, which was improved by Vasic and Stankovi ´ c (Math. Balk. ´ 6:281-288, 1976), is generalized by using new identities involving new Green’s functions. New generalizations of an improved Popoviciu inequality are obtained by using generalized Montgomery identity along with new Green’s functions. As an application, we formulate the monotonicity of linear functionals constructed from the generalized identities, utilizing the recent theory of inequalities for n-convex functions at a point. New upper bounds of Grüss and Ostrowski type are also computed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
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
