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.