New generalized trapezoidal type integral inequalities with applications-Reference-Cited by-同舟云学术

New generalized trapezoidal type integral inequalities with applications

Published:2020-12-11 Issue:1 Volume:27 Page:35-46
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Kashuri Artion¹,Farid Ghulam²,Set Erhan³

Affiliation:

1. Department of Mathematics , Faculty of Technical Science , University Ismail Qemali , Vlora , Albania

2. COMSATS University Islamabad , Attock Campus , Attock 43600 , Pakistan

3. Department of Mathematics , Faculty of Science and Arts , Ordu University , Ordu , Turkey

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2028/pdf

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