Korean Journal of Mathematics

  • 제27권2호
  • /
  • Pages.279-295
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  • 2019
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  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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ON NEW INEQUALITIES OF SIMPSON'S TYPE FOR GENERALIZED CONVEX FUNCTIONS

  • Sarikaya, Mehmet Zeki (Department of Mathematics, Faculty of Science and Arts Duzce University, Konuralp Campus) ;
  • Budak, Huseyin (Department of Mathematics, Faculty of Science and Arts Duzce University, Konuralp Campus) ;
  • Erden, Samet (Department of Mathematics, Faculty of Science, Bartin University)
  • 투고 : 2018.07.18
  • 심사 : 2019.03.01
  • 발행 : 2019.06.30
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초록

In this paper, using local fractional integrals on fractal sets $R^{\alpha}(0<{\alpha}{\leq}1)$ of real line numbers, we establish new some inequalities of Simpson's type based on generalized convexity.

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참고문헌

  1. M. W. Alomari, M. Darus and S.S. Dragomir, New inequalities of Simpson's type for s-convex functions with applications, RGMIA Res. Rep. Coll. 12 (4) (2009), Article 9. [Online:http://ajmaa.org/RGMIA/v12n4.php]
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  8. M. Z. Sarikaya, E. Set and M. E. Ozdemir, On new inequalities of Simpson's type for convex functions, RGMIA Res. Rep. Coll. 13 (2) (2010), Article2.
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피인용 문헌

  1. Some new local fractional inequalities associated with generalized $(s,m)$-convex functions and applications vol.2020, pp.1, 2019, https://doi.org/10.1186/s13662-020-02865-w
  2. Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property vol.2020, pp.1, 2019, https://doi.org/10.1186/s13662-020-03121-x
  3. NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS vol.29, pp.1, 2019, https://doi.org/10.1142/s0218348x21500110
  4. NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED $ p$ -CONVEXITY WITH APPLICATIONS vol.29, pp.5, 2021, https://doi.org/10.1142/s0218348x21400181
  5. Some New Simpson’s-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators vol.13, pp.12, 2019, https://doi.org/10.3390/sym13122249
  6. New Simpson type inequalities for twice differentiable functions via generalized fractional integrals vol.7, pp.3, 2019, https://doi.org/10.3934/math.2022218