Praveen Agarwal and Junesang Choi Anand International College of Engineering, Dongguk University
Abstract : During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators. Here, using the pathway fractional integral operator, we give some presumably new and potentially useful fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators. Relevant connections of the results presented here with those earlier ones are also pointed out.
Keywords : integral inequalities, Chebyshev functional, Riemann-Liouville fractional integral operator, P\'olya and Szeg\"o type inequalities, pathway fractional integral operator