Some Hermite-Hadamard Weighted Integral Inequalities for (h, m)-Convex Modified Functions

2022 ◽  
Vol 16 (1) ◽  
pp. 25-33
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.

Inequalities for Partial Derivatives and their Applications

2015 ◽  
Vol 58 (3) ◽  
pp. 486-496 ◽  
Author(s):  
Dinh Thanh Duc ◽  
Nguyen Du Vi Nhan ◽  
Nguyen Tong Xuan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Integral Inequalities ◽  
Partial Differential ◽  
Partial Derivatives ◽  
Independent Variables ◽  
Weighted Integral

AbstractWe present various weighted integral inequalities for partial derivatives acting on products and compositions of functions that are applied in order to establish some new Opial-type inequalities involving functions of several independent variables. We also demonstrate the usefulness of our results in the field of partial differential equations.

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