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Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals

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  • Saad Ihsan Butt
  • Mario Krnić
  • Josip Pečarić

Abstract

We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n -tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.

Suggested Citation

  • Saad Ihsan Butt & Mario Krnić & Josip Pečarić, 2012. "Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-21, May.
    • Handle: RePEc:hin:jnlaaa:123913
    DOI: 10.1155/2012/123913
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