An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Abstract

This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

Keywords

• schweitzer inequality
• concave functions
• cauchy-schwarz inequality
• bernoulli inequality
• riemann-liouville integral operator
• 26d10
• 26d15
• 26a51