Monotone polygon

Singular integral

Function (biology)

Chebyshev filter

Inequality

Ecology

Pure mathematics

Biology

Monotonic function

Differential equation

Applied mathematics

Riemann integral

Evolutionary biology

Type (biology)

Mathematics

Mathematical analysis

Geometry

Ordinary differential equation

Fractional calculus

Integral equation

Advances in Difference Equations

In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ . We determine certain new double-weighted type fractional integral inequalities by utilizing the said integrals. We also give some of the new particular inequalities of the main result. Note that we can form various types of new inequalities of fractional integrals by employing conditions on the function Ψ given in the paper. We present some corollaries as particular cases of the main results.

On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals