Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators

Simple item page
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKashuri, Artion
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2021-12-21T23:49:52Z
dc.date.available2021-12-21T23:49:52Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research received no external funding.en_US
dc.identifier.citationSrivastava, 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.en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract5040160
dc.identifier.urihttp://hdl.handle.net/1828/13631
dc.language.isoenen_US
dc.publisherFractal and Fractionalen_US
dc.subjectChebyshev inequality
dc.subjectgeneralized fractional integral operators
dc.subjectmodified ML kernel
dc.subjectFW function
dc.subjectgeneral Wright function and its companions and extensions
dc.subjectsynchronous functions
dc.subjectintegral inequalities
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleCertain Inequalities Pertaining to Some New Generalized Fractional Integral Operatorsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Srivastava_Hari_fractalfract_2021.pdf
Size:
444.89 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.