In a recent paper, Cohl and Costas-Santos derived number of interesting multi-derivative multi-integral relations for the associated Legendre Ferrers functions in which orders those are changed integral steps. These potential use physical problems. We show here how their results can be simply from more general involving non-integer changes order obtained using fractional group operator methods ...

The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences polynomials w-harmonic functions. In special cases, estimates are derived various classical quadrature formulae such as the Gauss–Legendre Gauss–Chebyshev first second kind.