Some double generalized weighted fractional integral inequalities associated with Monotone Chebyshev functionals

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Abstract

In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we establish some new double-weighted inequalities, which are particular cases of the main result and are represented by corollaries. These inequalities are further refinement of all other inequalities associated with increasing, positive, monotone and measurable function existing in literature. The existing inequalities associated with increasing, positive, monotone and measurable function are also restored by applying specific conditions as given in Remarks. Many other types of fractional integral inequalities can be obtained by applying certain conditions on F and Ψ given in the literature.

Original languageEnglish
Article number275
JournalFractal and Fractional
Volume5
Issue number4
DOIs
StatePublished - Dec 2021

Keywords

  • Chebyshev functionals
  • Integral inequalities
  • Measurable function
  • Monotone
  • Weighted fractional integral

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