Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications
Chunyan Luo,
Bo Yu,
Yao Zhang,
Tingsong Du
Affiliations
Chunyan Luo
Department of Mathematics, College of Science, China Three Gorges University, Yichang, China
A $k$ -fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to $k$ -fractional integral inequalities for the first-order differentiable functions are obtained. These results are then applied to the estimation of cumulative distribution function and some other special means.