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Diamond-α weighted Ostrowski type and Grüss type inequalities on time scales

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  • Liu, Wenjun
  • Tuna, Adnan

Abstract

In this paper we obtain some weighted Ostrowski type and Grüss type inequalities on time scales by using the recent theory of combined dynamic derivatives on time scales. These results extend some known results in the literature and give some other interesting inequalities as special cases.

Suggested Citation

  • Liu, Wenjun & Tuna, Adnan, 2015. "Diamond-α weighted Ostrowski type and Grüss type inequalities on time scales," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 251-260.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:251-260
    DOI: 10.1016/j.amc.2015.06.132
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    References listed on IDEAS

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    1. Yi-Wen Liu, 2012. "Hilbert Transform and Applications," Chapters, in: Salih Mohammed Salih (ed.), Fourier Transform Applications, IntechOpen.
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    Cited by:

    1. Zhong-Xuan Mao & Ya-Ru Zhu & Jun-Ping Hou & Chun-Ping Ma & Shi-Pu Liu, 2021. "Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications," Mathematics, MDPI, vol. 9(10), pages 1-20, May.
    2. Seth Kermausuor & Eze R. Nwaeze, 2018. "A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales," Mathematics, MDPI, vol. 6(12), pages 1-15, December.

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