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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, firstly, new Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built.
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Key Findings & Data:Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained.
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Conclusion & Impact:Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard inequalities · Hermite-Hadamard-Fejer inequalities · fractional integral
Abstract
In this paper, firstly, new Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.
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Cite This Article
Kunt, M., Iscan, İ. (2017). On new Hermite-Hadamard-Fejer type inequalities for p-convex functions via fractional integrals. Communication in Mathematical Modeling and Applications, Cilt: 2 Sayı: 1, 1–15. https://ajindex.com/articles/1648684