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Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex

Meftah Badreddine

Journal of Applied Analysis

2019

Vol. 25, nr 2

165--171

In this paper, we establish fractional Ostrowski inequalities for functions whose modulus of the first derivatives are prequasi-invex. Midpoint inequalities are also derived.

Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality

Meftah Badreddine

Journal of Applied Analysis

2019

Vol. 25, nr 1

83--90

In this paper, we establish fractional Ostrowski’s inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality.

Fractional integral inequalities for composite and k-composite preinvex functions

Kashuri A., Liko R., Iqbal S.

Fasciculi Mathematici

2019

nr 62

57--79

In this article we found some Ostrowski inequalities for composite and k-composite preinvex functions via fractional integrals. Also some special cases will be given.

Generalized weighted Ostrowski, Trapezoid and Grüss type inequalities on time scales

El-Deeb A. A., Elsennary H. A., Nwaeze E. R.

Fasciculi Mathematici

2018

Nr 60

123--144

In this article, using two parameters, we obtain generalizations of a weighted Ostrowski type inequality and its companion inequalities on an arbitrary time scale for functions whose first delta derivatives are bounded. Our work unifies the continuous and discrete versions and can also be applied to the quantum calculus case.

Fractional representation formulae under initial conditions and fractional Ostrowski type inequalities

Anastassiou G. A.

Demonstratio Mathematica

2015

Vol. 48, nr 3

357--378

Here we present very general fractional representation formulae for a function in terms of the fractional Riemann–Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms.