On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals

Rashid, SaimaJarad, FahdKalsoom, HumairaChu, Yu-Ming2022-11-102022-11-102020Rashid, Saima...et al. (2020). "On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals", Advances in Difference Equations, Vol. 2020, No. 1.1687-1839http://hdl.handle.net/20.500.12416/5848In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k> 0 , present some new important inequalities of Pólya–Szegö and Čebyšev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.eninfo:eu-repo/semantics/openAccessGeneralized Fractional IntegralPólya–Szegö InequalityČebyšev InequalityOn Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integralsOn Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integralsArticle2020110.1186/s13662-020-02583-3