Pregled bibliografske jedinice broj: 954185
Generalization of Cyclic Refinements of Jensen Inequality by Fink's Identity
Generalization of Cyclic Refinements of Jensen Inequality by Fink's Identity // Journal of inequalities and applications, 2017 (2017), 51; 1-21 doi:10.1186/s13660-018-1640-z (međunarodna recenzija, članak, ostalo)
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Naslov
Generalization of Cyclic Refinements of Jensen Inequality by Fink's Identity
Autori
Butt, Saad Ihsan ; Horvath, Laszlo ; Mehmood, Nasir ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2017
(2017), 51;
1-21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo
Ključne riječi
Convex function ; n-Convex function at a point ; Fink’s identity ; Green function ; Cebyšev functional ; Grüss and Ostrowski inequality
Sažetak
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity. We formulate the monotonicity of the linear functionals obtained from these identities utilizing the theory of inequalities for n-convex functions at a point. New Grüss- and Ostrowski-type bounds are found for identities associated with the obtained inequalities. Finally, we investigate the properties of linear functionals regarding exponential convexity and mean value theorems.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
