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Showing 4 results for Fractional Integral

E. Kacar, Z. Kacar, H. Yildirim,
Volume 13, Issue 1 (5-2018)
Abstract

In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.


Gh. Farid, A. Ur Rehman, M. Zahra,
Volume 13, Issue 2 (10-2018)
Abstract

Fejer  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fejer  Hadamard  inequalities for k-fractional integrals.
We deduce Fejer  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for k-fractional as well as fractional integrals are given.


H. Budak, F. Usta, M. Z. Sarikaya,
Volume 16, Issue 1 (4-2021)
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.
Maamar Benbachir, Farid Chabane, Imdat Iscan,
Volume 21, Issue 1 (4-2026)
Abstract

It is well known that Hermite-Hadamard inequality generates an estimate of the mean value of the convex function over a bounded interval, in this work we investigate some Hermite-Hadamard type integral inequalities for p-convex functions and harmonically convex functions in fractional integral forms. Precisely, we provide extensions better than those existing in earlier works.
 

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