Abstract The main objective of this paper is to establish some new Hermite–Hadamard type inequalities involving k -Riemann–Liouville fractional integrals. Using the convexity differentiable functions related have been proved, which deep connection with known results. At end, applications obtained results in error estimations quadrature formulas are also considered.

‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

Weighted Hermite-Hadamard dual inequality in integral form is an important result as its left hand fact Jensen and right the Lah-Ribaric inequality. In this paper new linear inequalities are introduced via extension of Montgomery identity weighted with without Green functions discrete cases.