Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

Authors

F. Usta Department of Mathematics, Faculty of Science and Arts, Düzce University

H. Budak Department of Mathematics, Faculty of Science and Arts, Düzce University

M. Z. Sarikaya Department of Mathematics, Faculty of Science and Arts, Düzce University

Abstract:

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.

Upgrade to premium to download articles

Already have an account?login

similar resources

Some Fractional Integral Inequalities in Quantum Calculus

In this paper, using the Riemann-Liouville fractional q-integral, we establish some new fractional integral inequalities by using two parameters of deformation q1 and q2.

full text

On Feng Qi-type Integral Inequalities for Conformable Fractional Integrals

In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signicant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...

full text

On 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.

full text

Weighted Inequalities for Generalized Fractional Operators

In this note we present weighted Coifman type estimates, and twoweight estimates of strong and weak type for general fractional operators. We give applications to fractional operators given by an homogeneous function, and by a Fourier multiplier. The complete proofs of these results appear in the work [5] done jointly with Ana L. Bernardis and Maŕıa Lorente.

full text

Ostrowski 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.

full text

On weighted inequalities for certain fractional integral operators

and Dn denotes the derivative operator ∂/∂x1, . . . ,∂xn. The operators in (1.1) provide multidimensional generalizations to the well-known one-dimensional Riemann-Liouville andWeyl fractional integral operators defined in [5] (see also [1]). The paper [7] considers several formulas and interesting properties of (1.1). By invoking the Gauss hypergeometric function 2F1(α,β;γ;x), the following ge...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title

Iranian Journal of Mathematical Sciences and Informatics

volume 16 issue 1

pages 195- 212

publication date 2021-04

unfollow

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com