Pregled bibliografske jedinice broj: 1271282
New improvements of Jensen's type inequalities via 4-convex functions with applications
New improvements of Jensen's type inequalities via 4-convex functions with applications // Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, 2021 (2021), 43, 15 doi:10.1007/s13398-020-00971-8 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1271282 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New improvements of Jensen's type inequalities via 4-convex functions with applications
Autori
Khan, Muhammad Adil ; Khan, Shahid ; Pecaric, Dilda ; Pecaric, Josip
Izvornik
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (1137-2141) 2021
(2021);
43, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen inequali ; Jensen–Steffensen inequality ; Green function ; Information theory
Sažetak
In this article, we present some new improvements of Jensen’s type inequalities via 4-convex and Green functions. These improvements are demonstrated in discrete as well as in integral versions. The aforesaid results enable us to give some improvements of Jensen’s and the Jensen–Steffensen inequalities. Also, we present some improvements of the reverse Jensen’s and the Jensen–Steffensen inequalities. Then as consequences of the improved Jensen’s inequality, we deduce some new bounds for the power, geometric and quasi-arithmetic means, also obtain bounds for the Hermite–Hadamard gap and improvements of the Hölder inequality. Finally as applications of the improved Jensen’s inequality, we present some new bounds for various divergences and Zipf–Mandelbrot entropy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Hrvatsko katoličko sveučilište, Zagreb
