Pregled bibliografske jedinice broj: 954159
New Generalizations of Popoviciu Type Inequalities Via New Green Functions and Fink's Identity
New Generalizations of Popoviciu Type Inequalities Via New Green Functions and Fink's Identity // Transactions of A. Razmadze Mathematical Institute, 171 (2017), 3; 293-303 (međunarodna recenzija, članak, znanstveni)
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Naslov
New Generalizations of Popoviciu Type Inequalities Via New Green Functions and Fink's Identity
Autori
Butt, S. I. ; Mehmood, N. ; Pečarić, J.
Izvornik
Transactions of A. Razmadze Mathematical Institute (2346-8092) 171
(2017), 3;
293-303
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Popoviciu inequality ; Fink’s identity ; Abel–Gontscharoff interpolating polynomial ; New Green functions ; Grüss upper bounds ; Ostrowski type bounds
Sažetak
We formulate new identities involving new Green functions. Inequality of Popoviciu, which was improved by Vasi´c and Stankovi´c (1976), is generalized by using newly introduced Green functions. We utilize Fink’s identity along with new Green’s function to generalize the known Popoviciu’s inequality from convex functions to higher order convex functions. Then we construct linear functionals from the generalized identities and formulate the monotonicity of these functionals utilizing the recent theory of inequalities for n-convex functions at a point. New upper bounds of Grüss and Ostrowski type are computed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
