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Generalized -Convex Functions on Fractal Sets

Author

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  • Huixia Mo
  • Xin Sui

Abstract

We introduce two kinds of generalized -convex functions on real linear fractal sets . And similar to the class situation, we also study the properties of these two kinds of generalized -convex functions and discuss the relationship between them. Furthermore, some applications are given.

Suggested Citation

  • Huixia Mo & Xin Sui, 2014. "Generalized -Convex Functions on Fractal Sets," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jnlaaa:254737
    DOI: 10.1155/2014/254737
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    Cited by:

    1. Ohud Almutairi & Adem Kılıçman, 2019. "Generalized Integral Inequalities for Hermite–Hadamard-Type Inequalities via s -Convexity on Fractal Sets," Mathematics, MDPI, vol. 7(11), pages 1-16, November.
    2. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Broca Index: A Simple Tool to Measure Ideal Body Weight," MPRA Paper 116852, University Library of Munich, Germany, revised 18 Jan 2023.
    3. Yu, Shuhong & Zhou, Yunxiu & Du, Tingsong, 2022. "Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Almutairi, Ohud & Kiliçman, Adem, 2021. "Generalized Fejér–Hermite–Hadamard type via generalized (h−m)-convexity on fractal sets and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    5. Butt, Saad Ihsan & Khan, Ahmad, 2023. "New fractal–fractional parametric inequalities with applications," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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