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Trapezoidal type inequalities related to h-convex functions with applications

Abstract

A mapping \(M_g(t)\) is considered to obtain some preliminary results and a new trapezoidal form of Fejér inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection with special means, random variable and trapezoidal formula.

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Rostamian Delavar, M., Dragomir, S.S. Trapezoidal type inequalities related to h-convex functions with applications. RACSAM 113, 1487–1498 (2019). https://doi.org/10.1007/s13398-018-0563-3

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  • DOI: https://doi.org/10.1007/s13398-018-0563-3

Keywords

  • h-Convex function
  • Fejér inequality
  • Random variable
  • Trapezoid formula

Mathematics Subject Classification

  • Primary 26A51
  • 26D15
  • 52A01
  • Secondary 26A51