Some parameterized Simpson’s type inequalities for differentiable convex functions involving generalized fractional integrals
نویسندگان
چکیده
Abstract In this paper, we establish some new inequalities of Simpson’s type for differentiable convex functions involving parameters and generalized fractional integrals. The results given in study are a generalization proved (Du, Li Yang Appl. Math. Comput. 293:358–369, 2017).
منابع مشابه
A generalized form of the Hermite-Hadamard-Fejer type inequalities involving fractional integral for co-ordinated convex functions
Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.
متن کاملOn Some Hermite-Hadamard Type Inequalities for Convex Functions via Hadamard Fractional Integrals
The well-known Hermite-Hadamard integral inequality was established by Hermite at the end of 19th century (see [1]). There are many recent contributions to improve this inequality, please refer to [2,3,4,5,6] and references therein. It is worth noting that there are some interesting results about Hermite-Hadamard inequalities via fractional integrals according to the corresponding integral equa...
متن کاملOstrowski type inequalities involving conformable fractional integrals
In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
متن کاملSome integrals involving generalized k-Struve functions
The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead to some known results.
متن کاملOn generalized some integral inequalities for local fractional integrals
In this study, we establish generaized Grüss type inequality and some generaized Cebysev type inequalities for local fractional integrals on frac-tal sets R (0 < 1) of real line numbers.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Continuous and Discrete Models
سال: 2022
ISSN: ['2731-4235']
DOI: https://doi.org/10.1186/s13662-022-03696-7