In this paper, firstly we have established Hermite–Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some HermiteHadamard-Fejér type integral inequalities for the fractional integrals have been obtained. The some results presented here would provide extensions of those given in earlier works. Mathematics Subject Classification (2010): 26A51, 26A33, 26D10.

The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this Letter, we initiate the elliptic integrals. Concretely, of twelve-point two-loop double-box integral in four dimensions, which depends on nine dual-conformal cross ratios. We obtain alphabet, contains 100 logarithms as well simple integrals, via Schubert-typ...