Pregled bibliografske jedinice broj: 954195
Generalization of Majorization Theorem-II
Generalization of Majorization Theorem-II // Journal of Mathematical Inequalities, 12 (2018), 3; 731-752 doi:10.7153/jmi-2018-12-56 (međunarodna recenzija, članak, ostalo)
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Naslov
Generalization of Majorization Theorem-II
Autori
Latif, Naveed ; Siddique, Nouman ; Pečarić, Josip
Izvornik
Journal of Mathematical Inequalities (1846-579X) 12
(2018), 3;
731-752
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo
Ključne riječi
Majorization inequailty ; Taylor’s formula ; new Green functions ; linear functionals ; (n+1)-convex functions at a point ; Gruss and Ostrowski-type upper bounds ; mean value theorems ; n-exponential convexity ; applications
Sažetak
This paper begins with a rigorous study of convex functions with the goal of developing the majorization theorems in the form of Taylor representation. In this paper, some new types of Green functions, introduced by Peˇcari´c- Agarwal-Butt-Mehmood (2017) [11] and Taylor’s formula, are used to obtain the identities related to majorization type inequalities. We present the monotonicity of the linear functionals deduced from our generalized results by using the family of (n + 1)-convex functions at a point. We give upper bounds and mean value theorems for obtained generalized identities. At the end, we explore some applications.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
