Integral inequalities involving $\mathbf{(k,s)-}$ fractional moments of a continuous random variables

2020 ◽  
Vol 8 (4) ◽  
pp. 1629-1634
Author(s):  
Houas M.
Keyword(s):  
Random Variables ◽  
Integral Inequalities ◽  
Fractional Moments

scholarly journals New integral inequalities for (r,alpha)-fractional moments of continuous random variables

Mathematica ◽  
2018 ◽  
Vol 60 (83) (2) ◽  
pp. 166-176
Author(s):  
Mohamed Houas ◽  
◽  
Zoubir Dahmani ◽  
Mehmet Zeki Sarikaya ◽  
◽  
...  
Keyword(s):  
Random Variables ◽  
Integral Inequalities ◽  
Fractional Moments

scholarly journals Some estimations on continuous random variables for (k, s) −fractional integral operators

2020 ◽  
Vol 6 (1) ◽  
pp. 143-154
Author(s):  
Mohamed Houas
Keyword(s):  
Integral Operator ◽  
Fractional Integral ◽  
Random Variables ◽  
Integral Operators ◽  
Fractional Integral Operator ◽  
Integral Inequalities ◽  
Fractional Integral Operators

AbstractIn this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.

Remarks on the relation between fractional moments and fractional derivatives of characteristic functions

1980 ◽  
Vol 17 (02) ◽  
pp. 456-466 ◽  
Author(s):  
G. Laue
Keyword(s):  
Fractional Derivatives ◽  
Random Variables ◽  
Characteristic Functions ◽  
Fractional Moments ◽  
Derivatives Of

We consider fractional derivatives of characteristic functions. We use these fractional derivatives for the formulation of new conditions for the existence of non-integer moments. We also compare the known conditions for the existence of moments of arbitrary random variables with our new conditions. As a consequence many conditions can be written in a unified terminology.

Remarks on the relation between fractional moments and fractional derivatives of characteristic functions

1980 ◽  
Vol 17 (2) ◽  
pp. 456-466 ◽  
Author(s):  
G. Laue
Keyword(s):  
Fractional Derivatives ◽  
Random Variables ◽  
Characteristic Functions ◽  
Fractional Moments ◽  
Derivatives Of

We consider fractional derivatives of characteristic functions. We use these fractional derivatives for the formulation of new conditions for the existence of non-integer moments. We also compare the known conditions for the existence of moments of arbitrary random variables with our new conditions. As a consequence many conditions can be written in a unified terminology.

scholarly journals Generalized Fractional Integral Inequalities for Continuous Random Variables

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Abdullah Akkurt ◽  
Zeynep Kaçar ◽  
Hüseyin Yildirim
Keyword(s):  
Fractional Integral ◽  
Random Variables ◽  
Integral Inequalities ◽  
Special Cases ◽  
Generalized Fractional Integral ◽  
Generalized Integral Inequalities

Some generalized integral inequalities are established for the fractional expectation and the fractional variance for continuous random variables. Special cases of integral inequalities in this paper are studied by Barnett et al. and Dahmani.

scholarly journals Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications

2016 ◽  
Vol 2 (1) ◽  
pp. 12-32 ◽  
Author(s):  
M. A. Latif ◽  
S. S. Dragomir ◽  
E. Momoniat
Keyword(s):  
Quadrature Formula ◽  
Convex Functions ◽  
Random Variables ◽  
Integral Inequalities ◽  
Weighted Integral ◽  
Weighted Quadrature

Abstract In this paper, a new weighted identity for functions defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of co-ordinated convex, co-ordinated wright-convex and co-ordinated quasi-convex functions on the rectangle from the plane are established which provide weighted generalization of some recent results proved for co-ordinated convex functions. Some applications of our results to random variables and 2D weighted quadrature formula are given as well.

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