Pregled bibliografske jedinice broj: 950150
Refinements of the majorization-type inequalities via Green and Fink identities and related results
Refinements of the majorization-type inequalities via Green and Fink identities and related results // Mathematica slovaca, 68 (2018), 4; 773-788 doi:10.1515/ms-2017-0144 (međunarodna recenzija, članak, znanstveni)
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Naslov
Refinements of the majorization-type inequalities via Green and Fink identities and related results
Autori
Khalid, Sadia ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Mathematica slovaca (0139-9918) 68
(2018), 4;
773-788
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
logarithmic convexity ; divided difference ; n-convex function ; majorization ; Sherman’s inequality ; Green’s function ; Fink’s identity ; Čebyšev functional ; Grüss-type inequality ; Ostrowski-type inequality ; exponential convexity
Sažetak
In this work, the Green’s function of order two is used together with Fink’s approach in Ostrowski’s inequality to represent the difference between the sides of the Sherman’s inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality. Further, we construct a new family of exponentially convexfunctions and Cauchy-type means by looking to the linear functionals 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
