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Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications

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  • Cheng, Qingjin
  • Luo, Chunyan

Abstract

In this article, the author establishes some new parameterized local fractional integral inequalities for mappings whose first local fractional derivatives in absolute values at some powers are generalized p-convex function. Furthermore, certain applications of main results for α-type special means, trapezoidal formula and cumulative distribution function are used to verify the computational effectiveness and relevance of the presented technique.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005811
    DOI: 10.1016/j.chaos.2022.112371
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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. Wenbing Sun, 2021. "LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-12, February.
    4. Yasemin Basci & Dumitru Baleanu, 2019. "Ostrowski Type Inequalities Involving ψ -Hilfer Fractional Integrals," Mathematics, MDPI, vol. 7(9), pages 1-10, August.
    5. 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.
    6. Ohud Almutairi & Adem Kılıçman, 2020. "Integral Inequalities for s -Convexity via Generalized Fractional Integrals on Fractal Sets," Mathematics, MDPI, vol. 8(1), pages 1-11, January.
    7. Changyue Chen & Muhammad Shoaib Sallem & Muhammad Sajid Zahoor & Ahmet Ocak Akdemir, 2021. "Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, October.
    8. 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.
    9. Xinghua You & Ghulam Farid & Kahkashan Maheen, 2020. "Fractional Ostrowski Type Inequalities via Generalized Mittag–Leffler Function," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, June.
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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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