TY - JOUR
T1 - Some double generalized weighted fractional integral inequalities associated with Monotone Chebyshev functionals
AU - Rahman, Gauhar
AU - Aldosary, Saud Fahad
AU - Samraiz, Muhammad
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/12
Y1 - 2021/12
N2 - In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we establish some new double-weighted inequalities, which are particular cases of the main result and are represented by corollaries. These inequalities are further refinement of all other inequalities associated with increasing, positive, monotone and measurable function existing in literature. The existing inequalities associated with increasing, positive, monotone and measurable function are also restored by applying specific conditions as given in Remarks. Many other types of fractional integral inequalities can be obtained by applying certain conditions on F and Ψ given in the literature.
AB - In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we establish some new double-weighted inequalities, which are particular cases of the main result and are represented by corollaries. These inequalities are further refinement of all other inequalities associated with increasing, positive, monotone and measurable function existing in literature. The existing inequalities associated with increasing, positive, monotone and measurable function are also restored by applying specific conditions as given in Remarks. Many other types of fractional integral inequalities can be obtained by applying certain conditions on F and Ψ given in the literature.
KW - Chebyshev functionals
KW - Integral inequalities
KW - Measurable function
KW - Monotone
KW - Weighted fractional integral
UR - https://www.scopus.com/pages/publications/85121326331
U2 - 10.3390/fractalfract5040275
DO - 10.3390/fractalfract5040275
M3 - Article
AN - SCOPUS:85121326331
SN - 2504-3110
VL - 5
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 4
M1 - 275
ER -