Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications
نویسندگان
چکیده
In this paper, the authors define a new generic class of functions involving certain modified Fox–Wright function. A useful identity using fractional integrals and function with two parameters is also found. Applying as an auxiliary result, we establish some Hermite–Hadamard-type integral inequalities by above-mentioned functions. Some special cases are derived relevant details. Moreover, in order to show efficiency our main results, application for error estimation obtained well.
منابع مشابه
New integral inequalities for $s$-preinvex functions
In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.
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 کاملSome Generalized Integral Inequalities and Their Applications
In this paper, we generalize some integral inequalities to more general situations. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of integral equations and differential equations. Applications are given to illustrate the usefulness of the inequalities.
متن کاملInequalities for Hyperbolic Functions and Their Applications
In the study by Zhu in 1 , a basic theorem is established and found to be a source of inequalities for circular functions, and these inequalities are extended by this basic theorem. In what follows we are going to present the counterpart of these results for the hyperbolic functions. In this paper, we first establish the following Cusa-type inequalities in exponential type for hyperbolic functi...
متن کاملSome Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
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: Fractal and fractional
سال: 2021
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract5030080