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Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals

Author

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  • Matloob Anwar
  • Rabia Bibi
  • Martin Bohner
  • Josip Pečarić

Abstract

We apply the theory of isotonic linear functionals to derive a series of known inequalities, extensions of known inequalities, and new inequalities in the theory of dynamic equations on time scales.

Suggested Citation

  • Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2011. "Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, July.
    • Handle: RePEc:hin:jnlaaa:483595
    DOI: 10.1155/2011/483595
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    Cited by:

    1. Zhong-Xuan Mao & Ya-Ru Zhu & Bao-Hua Guo & Fu-Hai Wang & Yu-Hua Yang & Hai-Qing Zhao, 2021. "Qi Type Diamond-Alpha Integral Inequalities," Mathematics, MDPI, vol. 9(4), pages 1-24, February.
    2. Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2014. "Jensen Functionals on Time Scales for Several Variables," International Journal of Analysis, Hindawi, vol. 2014, pages 1-14, April.

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