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New generalized trapezoidal type integral inequalities with applications

  • Artion Kashuri EMAIL logo , Ghulam Farid and Erhan Set
Published/Copyright: December 11, 2020

Abstract

Trapezoidal inequalities for functions of diverse nature are useful in numerical computations. The authors have proved an identity for a generalized integral operator via a differentiable function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in the recent decades. Various special cases have been identified. Some applications of presented results have been analyzed.

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Received: 2019-07-09
Revised: 2019-11-29
Accepted: 2019-11-30
Published Online: 2020-12-11
Published in Print: 2021-06-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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