New developments of fractional integral inequalities and their applications
DOI:
https://doi.org/10.24193/subbmath.2025.3.01Keywords:
Hermite-Hadamard inequality, H¨older’s inequality, power mean inequality, Bessel functions, bounded functionsAbstract
In this paper, we propose the so-called higher order strongly m-polynomial exponentially type convex functions. Some of its algebraic properties are given and a new fractional integral identity is established. Applying the class of higher order strongly m-polynomial exponentially type convex functions, we deduce some fractional integral inequalities using the basic identity. Furthermore, we offer some applications to demonstrate the efficiency of our results. Our results not only generalize the known results but also refine them.
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