Exponential convexity for Jensen’s inequality for norms (CROSBI ID 232472)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jakšetić, Julije ; Naeem, Rishi ; Pečarić, Josip
engleski
Exponential convexity for Jensen’s inequality for norms
n this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42, 1988). We also give mean value theorems of Lagrange and Cauchy types. Finally, we construct means with Stolarsky property.
convex function ; exponentially convex function ; mean value theorems ; Stolarsky means
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Podaci o izdanju
2016 (54)
2016.
1-8
objavljeno
1029-242X
10.1186/s13660-016-1009-0