Abstract
The main concern of this paper is the use of generalized $\mathcal{K}$-fractional integral operator for obtaining the latest generalization of Minkowski's inequality. An interesting feature is the generalization of classical Minkowski's inequality via generalized $\mathcal{K}$-fractional integrals. Additionally, this newly defined integral operator have the competencies to be carried out for the evaluation of numerous numerical issues as uses of the work.
Highlights
Fractional calculus is truly considered to be a real-world framework, for example, a correspondence framework that comprises extravagant interfacing, has reliant parts that are utilized to achieve a bound-together objective of transmitting and getting signals, and can be portrayed by utilizing complex system models
Taking into account the novel ideas, we provide a new version for reverse Minkowski inequality in the frame of the generalized K-fractional integral operators and provide some of its consequences that are advantageous to current research
We demonstrate the notations and primary definitions of our newly described generalized K-fractional integrals
Summary
Fractional calculus is truly considered to be a real-world framework, for example, a correspondence framework that comprises extravagant interfacing, has reliant parts that are utilized to achieve a bound-together objective of transmitting and getting signals, and can be portrayed by utilizing complex system models (see [1,2,3,4,5,6,7,8]). Other authors have introduced a parameter and enunciated a generalization for fractional integrals on a selected space. For such operators, we refer to Mubeen and Habibullah [21] and Singh et al [22] and the works cited in them. In Chinchane and Pachpatte [34], the authors obtained Minkowski variants and other associated inequalities by employing Katugampola fractional integral operators. Some generalizations of the reverse Minkowski and associated inequalities have been established via generalized K fractional conformable integrals by Mubeen et al in [35]. Taking into account the novel ideas, we provide a new version for reverse Minkowski inequality in the frame of the generalized K-fractional integral operators and provide some of its consequences that are advantageous to current research. We show the associated variants using this fractional integral
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