On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

Autor:	Gauhar Rahman, Kottakkaran Sooppy Nisar, Behzad Ghanbari, Thabet Abdeljawad
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Fractional integrals The generalized fractional integrals Fractional integral inequalities The Chebyshev functional Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-19 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02830-7
Popis:	Abstract In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ. We determine certain new double-weighted type fractional integral inequalities by utilizing the said integrals. We also give some of the new particular inequalities of the main result. Note that we can form various types of new inequalities of fractional integrals by employing conditions on the function Ψ given in the paper. We present some corollaries as particular cases of the main results.
Databáze:	Directory of Open Access Journals
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