Pregled bibliografske jedinice broj: 1214091
Uniform Treatment of Jensen's Inequality by Montgomery Identity
Uniform Treatment of Jensen's Inequality by Montgomery Identity // Journal of mathematics, 2021 (2021), -; 5564647, 17 doi:10.1155/2021/5564647 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1214091 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Uniform Treatment of Jensen's Inequality by
Montgomery Identity
Autori
Rasheed, Tahir ; Butt, Saad Ihsan ; Pecaric, Dilda ; Pecaric, Josip ; Akdemir, Ahmet Ocak
Izvornik
Journal of mathematics (2314-4629) 2021
(2021);
5564647, 17
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
N-CONVEX FUNCTIONS ; Jensen's Inequality ; Montgomery Identity ; Zipf and Hybrid Zipf-Mandelbrot entropies
Sažetak
We generalize Jensen's integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n-convex functions ; also, we give different versions of Jensen's discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite-Hadamard inequality. Montgomery identity has a great importance as many inequalities can be obtained from Montgomery identity in q-calculus and fractional integrals. Also, we give applications in information theory for our obtained results, especially for Zipf and Hybrid Zipf-Mandelbrot entropies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti, Interdisciplinarne društvene znanosti
POVEZANOST RADA
Ustanove:
Sveučilište Sjever, Koprivnica
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
