TY - JOUR
T1 - Certain generalized fractional integral inequalities
AU - Jangid, Kamlesh
AU - Purohit, Sunil Dutt
AU - Nisar, Kottakkaran Sooppy
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2020, Erdal Karapinar. All rights reserved.
PY - 2020
Y1 - 2020
N2 - By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functional are formulated for two synchronous functions in this article. Further generalisations of these inequalities, including three monotonous functions, are also mentioned. In addition, as special cases of our key results, inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results are of a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, RiemannLiouville and Erdélyi-Kober fractional integral operators referred to the literature.
AB - By employing the Saigo k-fractional integral operators, some new inequalities for the Chebyshev functional are formulated for two synchronous functions in this article. Further generalisations of these inequalities, including three monotonous functions, are also mentioned. In addition, as special cases of our key results, inequalities for the Chebyshev functional about Saigo fractional integrals are obtained. The main results are of a general nature and, as a special case, give rise to integral inequalities describing the Saigo's, RiemannLiouville and Erdélyi-Kober fractional integral operators referred to the literature.
KW - Chebyshev functional
KW - Integral inequalities
KW - Saigo k-fractional integral operator
UR - https://www.scopus.com/pages/publications/85098502143
U2 - 10.31197/atnaa.775089
DO - 10.31197/atnaa.775089
M3 - Article
AN - SCOPUS:85098502143
SN - 2587-2648
VL - 4
SP - 252
EP - 259
JO - Advances in the Theory of Nonlinear Analysis and its Applications
JF - Advances in the Theory of Nonlinear Analysis and its Applications
IS - 4
ER -