Kara, HasanBudak, HüseyinHezenci, Fatih2023-07-262023-07-2620222227-7390https://doi.org/10.3390/math10183374https://hdl.handle.net/20.500.12684/13093In this article, we derive the above and below bounds for parameterized-type inequalities using the Riemann-Liouville fractional integral operators and limited second derivative mappings. These established inequalities generalized the midpoint-type, trapezoid-type, Simpson-type, and Bullen-type inequalities according to the specific choices of the parameter. Thus, a generalization of many inequalities and new results were obtained. Moreover, some examples of obtained inequalities are given for better understanding by the reader. Furthermore, the theoretical results are supported by graphs in order to illustrate the accuracy of each of the inequalities obtained according to the specific choices of the parameter.en10.3390/math10183374info:eu-repo/semantics/openAccessBounded Functions; Hermite-Hadamard Type Inequality; Trapezoid Inequalities; Midpoint-Type Inequalities; Simpson-Type Inequalities; Bullen-Type InequalitiesHermite-Hadamard Inequalities; Differentiable Mappings; Simpsons Type; Real NumbersArticle10182-s2.0-85138621152WOS:000858629400001Q2Q1