CHEBYSHEV TYPE INEQUALITIES FOR THE SAIGO FRACTIONAL INTEGRALS AND THEIR q-ANALOGUES

@article{Purohit2013CHEBYSHEVTI,
  title={CHEBYSHEV TYPE INEQUALITIES FOR THE SAIGO FRACTIONAL INTEGRALS AND THEIR q-ANALOGUES},
  author={S. D. Purohit and R. Raina},
  journal={Journal of Mathematical Inequalities},
  year={2013},
  pages={239-249}
}
  • S. D. Purohit, R. Raina
  • Published 2013
  • Mathematics
  • Journal of Mathematical Inequalities
  • The aim of the present paper is to obtain certain new integral inequalities involving the Saigo fractional integral operator. It is also shown how the various inequalities considered in this paper admit themselves of q-extensions which are capable of yielding various results in the theory of q-integral inequalities. 
    31 Citations
    Some New Chebyshev and Gr ¨uss-type Integral Inequalities for Saigo Fractional Integral Operators and Their q-analogues
    • 8
    • Highly Influenced
    • PDF
    Certain inequalities using Saigo fractional integral operator
    • 2
    • Highly Influenced
    Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators
    • 9
    • PDF
    Some integral inequalities involving Saigo fractional integral operators
    • 5
    On Chebyshev type Inequalities using Generalized k-Fractional Integral Operator
    • 2
    • PDF
    A Note on Saigo’s Fractional Integral Inequalities
    • 2
    • PDF

    References

    SHOWING 1-10 OF 18 REFERENCES
    On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
    • 120
    • Highly Influential
    On Grüss type inequality for a hypergeometric fractional integral
    • 23
    Some Fractional q -Integrals and q -Derivatives
    • 234
    • PDF
    Certain fractional q-integrals and q-derivatives
    • 262
    • Highly Influential
    Fractional Quantum Integral Inequalities
    • 32
    • PDF
    Generalized Fractional Calculus and Applications
    • 791
    • PDF
    Basic Hypergeometric Series
    • 2,563