Pregled bibliografske jedinice broj: 1210036
New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces
New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces // Axioms, 11 (2022), 7; 323, 16 doi:10.3390/axioms11070323 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1210036 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New Diamond-α Steffensen-Type Inequalities for
Convex Functions over General Time Scale Measure
Spaces
Autori
Smoljak Kalamir, Ksenija
Izvornik
Axioms (2075-1680) 11
(2022), 7;
323, 16
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
time scales ; diamond-α integral ; measure spaces ; Steffensen-type inequality ; convex function
Sažetak
In this paper, we extend some Steffensen-type inequalities to time scales by using the diamond- α-dynamic integral. Further, we prove some new Steffensen-type inequalities for convex functions utilizing positive σ-finite measures in time scale calculus. Moreover, as a special case, we obtain these inequalities for the delta and the nabla integral. By using the relation between calculus on time scales T and differential calculus on R, we obtain already-known Steffensen-type inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Ksenija Smoljak Kalamir
(autor)
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
- Emerging Sources Citation Index (ESCI)
- Scopus
