Pregled bibliografske jedinice broj: 1193629
Some generalizations of the Jensen-type inequalities with applications
Some generalizations of the Jensen-type inequalities with applications // Axioms, 11 (2022), 5; 227, 17 doi:10.3390/axioms11050227 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1193629 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some generalizations of the Jensen-type inequalities
with applications
Autori
Rodić, Mirna
Izvornik
Axioms (2075-1680) 11
(2022), 5;
227, 17
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality ; converse Jensen’s inequality ; Green function ; means ; exponential convexity
Sažetak
Motivated by some results about reverses of the Jensen inequality for positive measure, in this paper we give generalizations of those results for real Stieltjes measure dλ which is not necessarily positive using several Green functions. Utilizing these results we define some new mean value theorems of Lagrange and Cauchy type, and derive some new Cauchy-type means.
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
- Emerging Sources Citation Index (ESCI)
- Scopus
