Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Date
2021
Authors
Srivastava, H.M.
Kashuri, Artion
Mohammed, Pshtiwan Othman
Nonlaopon, Kamsing
Journal Title
Journal ISSN
Volume Title
Publisher
Fractal and Fractional
Abstract
In this paper, we introduce the generalized left-side and right-side fractional integral
operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this
general family of fractional integral operators. Moreover, we derive new results of this type of
inequalities for finite products of functions. In addition, we establish an estimate for the Chebyshev
functional by using the new fractional integral operators. From our above-mentioned results, we
find similar inequalities for some specialized fractional integrals keeping some of the earlier results
in view. Furthermore, two important results and some interesting consequences for convex functions
in the framework of the defined class of generalized fractional integral operators are established.
Finally, two basic examples demonstrated the significance of our results.
Description
Keywords
Chebyshev inequality, generalized fractional integral operators, modified ML kernel, FW function, general Wright function and its companions and extensions, synchronous functions, integral inequalities
Citation
Srivastava, H. M., Kashuri, A., Mohammed, P. O., & Nonlaopon, K. (2021). Certain inequalities pertaining to some new generalized fractional integral operators. Fractal and Fractional, 5(4), 160-181. doi.org/10.3390/fractalfract5040160.