scholarly journals The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables

2005 ◽  
Vol 49 (11-12) ◽  
pp. 1929-1940 ◽  
Author(s):  
P. Kumar
Keyword(s):  
Random Variables ◽  
Integral Inequalities ◽  
Moment Bounds ◽  
Moment Integral

Moment bounds for non-stationary dependent sequences

1994 ◽  
Vol 31 (3) ◽  
pp. 731-742 ◽  
Author(s):  
Tae Yoon Kim
Keyword(s):  
Random Variables ◽  
Partial Sums ◽  
Unified Approach ◽  
Dependent Random Variables ◽  
Combinatorial Argument ◽  
Stationarity Condition ◽  
Weakly Dependent Random Variables ◽  
Mixing Sequences ◽  
Moment Bounds ◽  
Weakly Dependent

We provide a unified approach for establishing even-moment bounds for partial sums for a class of weakly dependent random variables satisfying a stationarity condition. As applications, we discuss moment bounds for various types of mixing sequences. To obtain even-moment bounds, we use a ‘combinatorial argument' developed by Cox and Kim (1990).

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.

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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