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Generalized s‐Convex Functions on Fractal Sets

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  • Huixia Mo
  • Xin Sui

Abstract

We introduce two kinds of generalized s‐convex functions on real linear fractal sets Rα (01

Suggested Citation

  • Huixia Mo & Xin Sui, 2014. "Generalized s‐Convex Functions on Fractal Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:254737
    DOI: 10.1155/2014/254737
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    References listed on IDEAS

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    1. Huixia Mo & Xin Sui & Dongyan Yu, 2014. "Generalized Convex Functions on Fractal Sets and Two Related Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
    2. Wei Wei & H. M. Srivastava & Yunyi Zhang & Lei Wang & Peiyi Shen & Jing Zhang, 2014. "A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Mark Grinblatt & Juhani T. Linnainmaa, 2011. "Jensen's Inequality, Parameter Uncertainty, and Multi-period Investment," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 1(1), pages 1-34.
    4. Ai-Min Yang & Zeng-Shun Chen & H. M. Srivastava & Xiao-Jun Yang, 2013. "Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
    5. Huixia Mo & Xin Sui & Dongyan Yu, 2014. "Generalized Convex Functions on Fractal Sets and Two Related Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Wei Wei & H. M. Srivastava & Yunyi Zhang & Lei Wang & Peiyi Shen & Jing Zhang, 2014. "A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
    7. Ai-Min Yang & Zeng-Shun Chen & H. M. Srivastava & Xiao-Jun Yang, 2013. "Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Lakhdari, Abdelghani & Budak, Hüseyin & Mlaiki, Nabil & Meftah, Badreddine & Abdeljawad, Thabet, 2025. "New insights on fractal–fractional integral inequalities: Hermite–Hadamard and Milne estimates," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    2. Gong, Pan & Meftah, Badreddine & Xu, Hongyan & Budak, Hüseyin & Lakhdari, Abdelghani, 2025. "Exploring fractal–fractional integral inequalities: An extensive parametric study," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).

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