Simpson Type Inequalities via φ-Convexity

2012/05/30 by M. Emin Ozdemir, Ozdemir, M. Emin, Merve Avci +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1205.6657

11 pages. arXiv admin note: text overlap with arXiv:1203.2282, arXiv:1204.0923, arXiv:1203.2278 by other authors

arxiv created 2012/07/07 · arxiv updated 2012/07/10

Abstract

In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are φ-convex.

Citations

• On Hadamard Type Integral Inequalities for nonconvex Functions
• On Hermite-Hadamard Type Integral Inequalities for Functions Whose Second Derivative are nonconvex
• On The Hadamard Type Integral Inequalities Involving Several Φ-r-Convex Functions

Cited by

• On Hadamard Type Integral Inequalities for nonconvex Functions

Related

• Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave
• Some Simpson type inequalities for h-convex and (α,m)-convex functions
• Simpson Type Inequalities Via m- and (alpha,m)- logarithmically Convex functions
• Simpson Type Inequalities for m-convex Functions
• New Inequalities for Hermite-Hadamard and Simpson Type and Applications