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On generalized some integral inequalities for local fractional integrals

Author

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  • Sarikaya, Mehmet Zeki
  • Tunc, Tuba
  • Budak, Hüseyin

Abstract

In this study, we establish generalized Grüss type inequality and some generalized Čebyšev type inequalities for local fractional integrals on fractal sets Rα (0 < α ≤ 1) of real line numbers.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:316-323
    DOI: 10.1016/j.amc.2015.11.096
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    Citations

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    Cited by:

    1. 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).
    2. Wedad Saleh & Abdelghani Lakhdari & Ohud Almutairi & Adem Kiliçman, 2023. "Some Remarks on Local Fractional Integral Inequalities Involving Mittag–Leffler Kernel Using Generalized ( E , h )-Convexity," Mathematics, MDPI, vol. 11(6), pages 1-13, March.
    3. 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).
    4. Cheng, Qingjin & Luo, Chunyan, 2022. "Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. 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).
    6. Yu, Yuping & Liu, Jun & Du, Tingsong, 2022. "Certain error bounds on the parameterized integral inequalities in the sense of fractal sets," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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