Weighted Integral Inequalities in Terms of Omega-Fractional Integro-Differentiation

2018 ◽  
pp. 199-217
Author(s):  
P. Agarwal ◽  
A. M. Jerbashian ◽  
J. E. Restrepo
Keyword(s):  
Integral Inequalities ◽  
Weighted Integral

WEIGHTED INTEGRAL INEQUALITIES OF OSTROWSKI, ČEBYŠEV AND LUPAŞ TYPE WITH APPLICATIONS

2018 ◽  
Vol 98 (3) ◽  
pp. 439-447
Author(s):  
SILVESTRU SEVER DRAGOMIR
Keyword(s):  
Probability Density ◽  
Probability Density Functions ◽  
Integral Inequalities ◽  
Density Functions ◽  
Weighted Integral ◽  
Infinite Intervals

We establish some weighted integral inequalities of Ostrowski, Čebyšev and Lupaş type and give applications for continuous probability density functions supported on infinite intervals.

scholarly journals On some weighted integral inequalities for convex functions related to Fejér’s result

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 195-218
Author(s):  
K.L. Tseng ◽  
Shiow-Ru Hwang ◽  
S.S. Dragomir
Keyword(s):  
Convex Functions ◽  
Integral Inequalities ◽  
Integral Means ◽  
Weighted Integral

In this paper, we introduce some functionals associated with weighted integral means for convex functions. Some new Fej?r-type inequalities are obtained as well.

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