TY - JOUR
T1 - Certain Grüss-type inequalities via tempered fractional integrals concerning another function
AU - Rahman, Gauhar
AU - Nisar, Kottakkaran Sooppy
AU - Rashid, Saima
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020
Y1 - 2020
N2 - We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral. Additionally, we present various special cases of the main result. By utilizing the connection between GTF-integral and Riemann–Liouville integral concerning another function Ψ in the kernel, certain distinct particular cases of the main result are also presented. Furthermore, certain other inequalities can be formed by applying various kinds of conditions on the function Ψ.
AB - We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral. Additionally, we present various special cases of the main result. By utilizing the connection between GTF-integral and Riemann–Liouville integral concerning another function Ψ in the kernel, certain distinct particular cases of the main result are also presented. Furthermore, certain other inequalities can be formed by applying various kinds of conditions on the function Ψ.
KW - Fractional integrals
KW - Generalized tempered fractional integrals
KW - Inequalities
UR - https://www.scopus.com/pages/publications/85086004075
U2 - 10.1186/s13660-020-02420-x
DO - 10.1186/s13660-020-02420-x
M3 - Article
AN - SCOPUS:85086004075
SN - 1025-5834
VL - 2020
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 147
ER -