Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization

The main objective of the paper is to develop an innovative idea bringing continuous and discrete inequalities into a unified form. desired thus obtained by embedding majorization theory with existing notion inequalities. These notions are applied latest generalized form inequalities, popularly known as Hermite–Hadamard–Jensen–Mercer Moreover, frequently-used Caputo fractional operators employed, which rightly considered critical, especially for problems. Both weighted unweighted forms developed results discussed. In addition this, some bounds also provided absolute difference between left- right-sides results.