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On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorRahman, Gauhar
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorSamraiz, Muhammad
dc.contributor.authorIqbal, Sajid
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-11-30T08:40:51Z
dc.date.available2022-11-30T08:40:51Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel. The inequalities presented in this paper cover some new inequalities involving all other type weighted fractional integrals by applying certain conditions on ω(θ) and Ψ (θ). Also, the Pólya–Szegö and Chebyshev type integral inequalities for all other type fractional integrals, such as the Katugampola fractional integrals, generalized Riemann–Liouville fractional integral, conformable fractional integral, and Hadamard fractional integral, are the special cases of our main results with certain choices of ω(θ) and Ψ (θ). Additionally, examples of constructing bounded functions are also presented in the paper.en_US
dc.description.publishedMonth12
dc.identifier.citationNisar, Kottakkaran Sooppy...et al. (2020). "On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-03075-0
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5889
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChebyshev Functionalen_US
dc.subjectFractional Integralsen_US
dc.subjectInequalitiesen_US
dc.subjectWeighted Fractional Integralsen_US
dc.titleOn the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another functiontr_TR
dc.titleOn the Weighted Fractional Pólya–szegö and Chebyshev-Types Integral Inequalities Concerning Another Functionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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