Certain Inequalities Involving the Fractional -Integral Operators

By Dumitru Băleanu, Praveen Agarwal. 2014

47 citations recorded by the source corpus.

We establish some inequalities involving Saigo fractional -integral operator in the theory of quantum calculus by using the two parameters of deformation, and , whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional -integral operators, respectively. Furthermore, we also consider their relevance with other related known results.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/901631bb8485e7d2c800c6537c7f6caefd31e8f0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Fahd Jarad
2. Thabet Abdeljawad
3. Behzad Ghanbari
4. Kottakkaran Sooppy Nisar
5. Aftab Khan
6. Gauhar Rahman
7. Dumitru Băleanu
8. Mehmet Yavuz

In Geometry and Topology

1. Fahd Jarad
2. Thabet Abdeljawad
3. Kottakkaran Sooppy Nisar
4. Behzad Ghanbari
5. E. Karapınar

Citations in the corpus

• On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals (2020, background): “[55] studied (k,ρ)-fractional integrals and investigated the corresponding inequalities.”
• Certain inequalities via generalized proportional Hadamard fractional integral operators (2019, background): “fractional integral operators can be found in [35].”