Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications
Keyword(s):
<abstract><p>Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored. The main objective of this article is to acquire new Hermite-Hadamard type inequalities employing the Riemann-Liouville fractional operator for functions whose third derivatives of absolute values are convex and quasi-convex in nature. Some special cases of the newly presented results are discussed as well. As applications, several estimates concerning Bessel functions and special means of real numbers are illustrated.</p></abstract>
2019 ◽
Vol 26
(1/2)
◽
pp. 41-55
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2018 ◽
2021 ◽
Vol 104
(4)
◽
pp. 14-27
Keyword(s):
Keyword(s):