Chebyshev-Grüss Type Inequalities for Hadamard \(k\)-Fractional Integrals

Authors

  • Sana Iqbal Department of Mathematics University of Sargodha, Sargodha
  • Shahid Mubeen Department of Mathematics, University of Sargodha, Sargodha
  • Siddra Habib Department of Mathematics, G.C. University Faisalabad, Faisalabad
  • Muharrem Tomar Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu

DOI:

https://doi.org/10.26713/cma.v9i3.778

Keywords:

Fractional integral inequalities, Chebyshev functional, \((k, s)\)-fractional integrals

Abstract

Integral inequalities are taken up to be important as they are useful in the study of different classes of differential and integral equations. During the past several years, many researchers have obtained various fractional integral inequalities comprising the different fractional differential and integral operators. A considerable work is done associated with classical and variants of Grüss type inequality, which actually connects the integral of the product of two functions with the product of their integrals. In this paper, we present the Chebyshev-Grüss type inequalities for Hadamard fractional integrals in the framework of parameter \(k > 0\).

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Published

25-09-2018
CITATION

How to Cite

Iqbal, S., Mubeen, S., Habib, S., & Tomar, M. (2018). Chebyshev-Grüss Type Inequalities for Hadamard \(k\)-Fractional Integrals. Communications in Mathematics and Applications, 9(3), 339–348. https://doi.org/10.26713/cma.v9i3.778

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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