On some integral inequalities for s-logarithmically convex functions and their applications

2012/12/07 by Akdemir, Ahmet Ocak, Tunc, Mevlut
#26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1212.1584

Abstract

In this paper, we describe s-logarithmically convex functions in the first and second sense which are connected with the ordinary logatihmic convex and s-convex in the first and second sense. Afterwards, some new inequalities related to above new definitions are given.

Related

• On some inequalities for m- and (alpha,m)-logarithmically convex functions
• On some inequalities for s-logarithmically convex functions in the second sense via fractional integrals
• Some integral inequalities for α-, m-, (α,m)-logarithmically convex functions
• Ostrowski type inequalities for s-logarithmically convex functions in the second sense via fractional integrals
• Inequalities via s-convexity and log-convexity