Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
نویسندگان
چکیده
Recently, many fractional integral operators were introduced by different mathematicians. One of these operators, Atangana-Baleanu operator, was defined Atangana and Baleanu (Atangana Baleanu, 2016). In this study, firstly, a new identity using is proved. Then, inequalities have been obtained for convex concave functions with the help some certain inequalities.
منابع مشابه
Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives
The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana-Baleanu fractional derivative. Since the new Atangana-Baleanu fractional derivative is non-singular and non-local, the Euler-Lagrange equations are proposed for the problems of Herglotz. Fractional variational Herglotz problems of variable order are considered and two cases are sho...
متن کاملNEW GENERAL INTEGRAL INEQUALITIES FOR (α,m)-GA-CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS
In this paper, the authors give a new identity for Hadamard fractional integrals. By using of this identity, the authors obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (α,m)-GA-convex functions via Hadamard fractional integrals.
متن کاملNew general integral inequalities for quasi-geometrically convex functions via fractional integrals
In this paper, the author introduces the concept of the quasi-geometrically convex functions, gives Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional integrals. By using this identity, the author obtains new estimates on generalization of Hadamard et al. type inequalities for quasi-geometrically convex functions via Ha...
متن کاملON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
In this paper, a new general identity for differentiable mappings via Riemann-Liouville fractional integrals has been defined. By using of this identity, author has obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolutely value at certain powers are s-convex in the second sense.
متن کاملA 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 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: Journal of function spaces
سال: 2021
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2021/1055434