Fractional Integral Inequalities via s-Convex Functions

2012/01/24 by M. Emіn Özdemіr, M. Emin Ozdemir, Ozdemir, M. Emin +6
Mathematics · #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA

paper · pdf · doi:10.48550/arxiv.1201.4915

manuscript

arxiv created 2012/01/24 · openalex publication_date 2012/01/24 · arxiv updated 2012/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

Citations

• Hadamard-type inequalities for s-convex functions
• On new inequalities via Riemann-Liouville fractional integration

Related

• Fractional integral inequalities for different functions
• Generalization of different type integral inequalities for s-convex functions via fractional integrals
• Integral inequalities for s-convexity via generalized fractional\n integrals on fractal sets
• On generalization of different type inequalities for some convex functions via fractional integrals
• Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals