Open AccessOn refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators
Author(s) -
Hüseyin Budak
Publication year - 2019
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2019.00585
Subject(s) - mathematics , hadamard transform , hermite polynomials , generalization , type (biology) , pure mathematics , fractional calculus , mathematical analysis , biology , ecology
In this paper, we first establish weighted versions of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators utilizing weighted function. Then we obtain some refinements of these inequalities. The results obtained in this study would provide generalization of inequalities proved in earlier works.
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