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STEFFENSEN'S INEQUALITY ON TIME SCALES FOR CONVEX FUNCTIONS

Iddrisu, Mohammed Muniru

  • Received : 2018.02.22
  • Accepted : 2019.01.14
  • Published : 2019.03.25

Abstract

The Steffensen's Inequality was discovered in 1918 by Johan Frederic Steffensen (1873-1961). This inequality is very popular in the research environment and attracted the attention of many people working in similar area. Various extensions and generalisations have been provided concerning the inequality. This paper presents some further refinements of the Steffensen's Inequality on Time scales using methods of convexity, differentiability and monotonicity.

Keywords

Steffensen's Inequality;Convex functions;Time Scales