Chebyshev type inequalities involving generalized Katugampola fractional integral operators

Authors

  • Erhan Set Ordu University
  • Junesang Choi Dongguk University
  • \.{I}lker Mumcu Ordu University

DOI:

https://doi.org/10.5556/j.tkjm.50.2019.2791

Keywords:

Gamma function, Beta fuction, Fractional integral operators, Katugampola fractional integral operators, Chebyshev inequality, Chebyshev type inequalities, Synchronous

Abstract

A number of Chebyshev type inequalities involving various
 fractional integral operators have, recently, been presented.
Here, motivated essentially by the earlier works and their applications in
 diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator. Relevant connections of the results presented here with those (known and new) involving relatively simpler and familiar fractional integral operators are also pointed out.

Author Biography

Junesang Choi, Dongguk University

Full Professor

Additional Files

Published

2019-12-30

How to Cite

Set, E., Choi, J., & Mumcu, \.{I}lker. (2019). Chebyshev type inequalities involving generalized Katugampola fractional integral operators. Tamkang Journal of Mathematics, 50(4), 381–390. https://doi.org/10.5556/j.tkjm.50.2019.2791

Issue

Vol. 50 No. 4 (2019)

Section

Papers