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New Computations Of Ostrowski-Type Inequality Pertaining To Fractal Style With Applications

Author

Listed:
  • MAYSAA AL QURASHI

    (Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia)

  • SAIMA RASHID

    (Department of Mathematics, Government College University, Faisalabad 38600, Pakistan)

  • AASMA KHALID

    (Department of Mathematics, Government College Women University Faisalabad, Faisalabad 38600, Pakistan)

  • YELIZ KARACA

    (University of Massachusetts Medical School, Worcester, MA 01655, USA)

  • YU-MING CHU

    (Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China)

Abstract

The purpose of this paper is to provide novel estimates of Ostrowski-type inequalities in a much simpler and shorter way of some recent significant results in the context of a fractal set ℠α̃. By using our new approach, we established an auxiliary result that correlates with generalized convex (𠒢𠒞) and concave functions for absolutely continuous functions with second-order local differentiable mappings. Moreover, we derived some companions of Ostrowski-type inequalities belonging to 𠒱(2α̃) ∈ L ∞[s1,s2],𠒱(2α̃) ∈ L p[s1,s2] and 𠒱(2α̃) ∈ L 1[s1,s2] in local fractional sense. Our results generalize and offer better bounds than many known results in the existing literature associated with trapezoidal and midpoint formula. As an application perspective, we derived several estimation-type outcomes by the use of generalized α̃-type special means formula provided here to illustrate the usability of the obtained results. Our study contributes to a better understanding of fractal analysis and proves beneficial in exploring real-world phenomena.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400260
    DOI: 10.1142/S0218348X21400260
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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. 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).

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