On Grüss inequalities within generalized K-fractional integrals

[摘要] In this paper, we introduce the generalized $\mathcal{K}$-fractional integral in the frame of a new parameter $\mathcal{K}>0$. This paper offers some new important inequalities of Grüss type using the generalized $\mathcal{K}$-fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.

[学科分类] 航空航天科学

[关键词] Grüss inequality;Generalized \(\mathcal{K}\) -fractional integral;Integral inequality