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Some local fractional Maclaurin type inequalities for generalized convex functions and their applications

Author

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  • Meftah, B.
  • Souahi, A.
  • Merad, M.

Abstract

In this paper, we establish a new local fractional integral identity involving three point by the use of Peano kernel approach. Using this identity we derive some new local fractional integrals inequalities of Maclaurin-type for functions whose local fractional derivatives are generalized convex functions. In order to show the effectiveness of the obtained results, we apply them in numerical integration and to special means.

Suggested Citation

  • Meftah, B. & Souahi, A. & Merad, M., 2022. "Some local fractional Maclaurin type inequalities for generalized convex functions and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007093
    DOI: 10.1016/j.chaos.2022.112504
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    References listed on IDEAS

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    1. Luo, Chunyan & Wang, Hao & Du, Tingsong, 2020. "Fejér–Hermite–Hadamard type inequalities involving generalized h-convexity on fractal sets and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Sarikaya, Mehmet Zeki & Tunc, Tuba & Budak, Hüseyin, 2016. "On generalized some integral inequalities for local fractional integrals," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 316-323.
    3. Erden, Samet & Sarikaya, Mehmet Zeki, 2016. "Generalized Pompeiu type inequalities for local fractional integrals and its applications," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 282-291.
    4. Yong-Ju Yang & Dumitru Baleanu & Xiao-Jun Yang, 2013. "Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-6, June.
    5. Maysaa Al Qurashi & Saima Rashid & Aasma Khalid & Yeliz Karaca & Yu-Ming Chu, 2021. "New Computations Of Ostrowski-Type Inequality Pertaining To Fractal Style With Applications," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-26, August.
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    Cited by:

    1. Du, Tingsong & Yuan, Xiaoman, 2023. "On the parameterized fractal integral inequalities and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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