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Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities

Author

Listed:
  • Rabia Bibi
  • Muhammad Shahzad

Abstract

We give refinements and generalizations of the Dresher and Bellman inequalities for positive linear functionals. We also give reverse of the new obtained generalized version of these inequalities. Finally, we apply our results on time scales integrals to obtain refinements and generalizations of time scales Dresher’s and Bellman’s inequalities.

Suggested Citation

  • Rabia Bibi & Muhammad Shahzad, 2015. "Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:684763
    DOI: 10.1155/2015/684763
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    References listed on IDEAS

    as
    1. 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.
    2. Martin Bohner & Allan Peterson, 2001. "Dynamic Equations on Time Scales," Springer Books, Springer, number 978-1-4612-0201-1, March.
    3. 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, John Wiley & Sons, vol. 2011(1).
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