Journal of King Saud University: Science (Jan 2020)

Ostrowski and generalized trapezoid type inequalities on time scales

  • Adnan Tuna,
  • Eze R. Nwaeze

Journal volume & issue
Vol. 32, no. 1
pp. 496 – 500

Abstract

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In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g:[0,1]→[0,1]. Our results generalize and extend the results of Dragomir, and Ujević. Furthermore, we apply our results to the discrete and continuous time scales to obtain some other interesting inequalities as special cases. 2010 MSC: 26D15, 54C30, 26D10, Keywords: Ostrowski, Trapezoid, Inequalities, Time scales