Fractional Integral Operators
Generalized fractional integral operators associated with aleph function
... new integral relations involving the product of the Srivastava’s polynomials and the ...Erdélyi-Kober fractional integral operators, which have been depicted in ...
6
A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
... Among other function spaces, it seems that the Morrey spaces reflect the boundedness properties of the fractional integral operators. To describe the Morrey spaces we recall some definitions and ...
18
The Minkowski inequalities via generalized proportional fractional integral operators
... Minkowski fractional integral inequalities are perceived in ...some fractional integral inequalities by using Riemann–Liouville frac- tional ...Katugampola fractional integral ...
14
Limiting case of the boundedness of fractional integral operators on nonhomogeneous space
... of fractional integral operators without the growth condition was ...the fractional integral operators without the growth condition involves a covering ...new fractional ...
16
Certain inequalities associated with Hadamard k fractional integral operators
... We aim to present some new Pólya-Szegö type inequalities associated with Hadamard k-fractional integral operators, which are also used to derive some Chebyshev type integral inequalities. ...
14
A note on fractional integral operators on Herz spaces with variable exponent
... Abstract In this note, we prove that the fractional integral operators from Herz spaces with α to Lipschitz-type spaces are bounded provided p· is locally variable exponent K̇p·,q log-Hö[r] ...
11
Multilinear fractional integral operators on generalized weighted Morrey spaces
... 11. Kenig, CE, Stein, EM: Multilinear estimates and fractional integration. Math. Res. Lett. 6, 1-15 (1996) 12. Grafakos, L, Kalton, N: Some remarks on multilinear maps and interpolation. Math. Ann. 319, 151-180 ...
18
Multilinear fractional integral operators on non homogeneous metric measure spaces
... multilinear fractional integral operators and commuta- tors, generated by multilinear fractional integrals, with an RBMO(μ) function on non- homogeneous metric measure spaces, are bounded in ...
17
Generalized fractional integral operators and the multivariable H function
... Marichev-Saigo-Maeda fractional integral operators, many authors have presented a number of interesting integral formulas involv- ing special functions by using the Marichev-Saigo-Maeda ...
17
Certain inequalities via generalized proportional Hadamard fractional integral operators
... fractional integral operators can be found in ...generalized fractional integral and its applications and Grüss-type inequalities via generalized fractional integrals can be ...
10
On weighted inequalities for certain fractional integral operators
... modified fractional integral operators involving the Gauss hy- pergeometric function and obtains weighted inequalities for these ...mensional fractional integral operators ...
7
Two weight norm inequalities for fractional integral operators with \(A {\lambda,\infty}\) weights
... Lacey, Moen, Pérez and Torres [7] proved the sharp weighted bound for fractional integral operators.. And the sharp weighted bound for the fractional maximal function was proved by Prado[r] ...
11
Inequality estimates for the boundedness of multilinear singular and fractional integral operators
... multilinear operators associated to the fractional singular integral oper- ators and the weighted Lipschitz ...multilinear operators associated to the Calderón-Zygmund singular integral ...
15
A two weight estimate for a class of fractional integral operators with rough kernel
... The proof of Theorem 1.5 depends on the following weighted L p ,Lq boundedness and the weak boundedness of the rough fractional integral operator TΩ,α.. Some elementary conclusions We b[r] ...
8
21. {q}-analogues of Saigo's fractional calculus operators
... of fractional integral operators and fractional derivatives involving generalizd hypergeometric ...Saigo’s fractional integral operators and establish some results for ...
11
Vol 8, No 9 (2017)
... The fractional integral operators involving various special functions have found significant importance and applications in various subfields of applicable mathematical ...the fractional ...
8
Multilinear BMO Estimates for the Commutators of Multilinear Fractional Maximal and Integral Operators on the Product Generalized Morrey Spaces
... multilinear fractional integral operators have been established by Moen [20] and Chen-Xue [3], ...the operators I α (m) , T (m) and M (m) (m ∈ N ) on the product generalized Morrey spaces, ...
24
Some New Ostrowski Type Inequalities via Fractional Integrals
... Riemann-Liouville Fractional Integral Operators. Fractional calculus deals with the study of integral and differential operators of non-integral ...of fractional ...
5
Some new inequalities for generalized fractional conformable integral operators
... the fractional integral operators (FIO) and their applications in multiple disciplines of sciences (see [13, 14, 20, ...interesting integral inequalities for continuous functions on [a, ...
10
q Integral inequalities associated with some fractional q integral operators
... Similarly, if we set η = and replace β by –α in Theorem (and ζ = and replace δ by –γ in addition in Theorem ), using (.), inequalities (.) and (.) gives the follow- ing results involving q-analogues of the ...
13