Generalized inequalities involving fractional operators of the Riemann-Liouville type
نویسندگان
چکیده
<abstract><p>In this paper, we present a general formulation of the well-known fractional drifts Riemann-Liouville type. We state main properties these integral operators. Besides, study Ostrowski, Székely-Clark-Entringer and Hermite-Hadamard-Fejér inequalities involving operators.</p></abstract>
منابع مشابه
On Pólya–szegö and Chebyshev Types Inequalities Involving the Riemann–liouville Fractional Integral Operators
In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the boundi...
متن کاملGeneralized Hermite-Hadamard type inequalities involving fractional integral operators
In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liou...
متن کاملIntegral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
متن کاملCertain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due to Gaulué, whose special cases are shown to yield corresponding inequalities associated with Kobe...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
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: AIMS mathematics
سال: 2021
ISSN: ['2473-6988']
DOI: https://doi.org/10.3934/math.2022087