On Conformable Fractional Schweitzer-Type Inequality

Schweitzer's inequality is a classical result in mathematical analysis that provides bounds for the product of integrals involving positive, increasing, and concave functions; it plays a significant role in the study of integral inequalities and has inspired various generalizations in modern fractional calculus. In this paper, we establish an extension of the classical Schweitzer inequality in the framework of left conformable fractional integrals. Building upon recent works based on Riemann-Liouville fractional integrals, we generalize these results to the framework of conformable fractional integrals. Finally, we provide some examples showcasing how our result refines and improves upon previous results.

کلیدواژه ها:

Schweitzer inequality ، Concave functions ، Cauchy-Schwarz inequality ، Riemann-Liouville fractional integrals ، Conformable fractional integrals