scholarly journals Estimates of the difference between two weighted integral means via weighted Montgomery identity

2004 ◽  
pp. 315-336 ◽  
Author(s):  
A. Aglić Aljinović ◽  
Josip Pečarić ◽  
Ivan Perić
Keyword(s):  
Integral Means ◽  
Montgomery Identity ◽  
Weighted Integral ◽  
The Difference

scholarly journals On some Ostrowski type inequalities via Montgomery identity and Taylor's formula

2005 ◽  
Vol 36 (3) ◽  
pp. 199-218 ◽  
Author(s):  
A. Aglic Aljinovic ◽  
J. Pecaric
Keyword(s):  
Integral Means ◽  
Montgomery Identity ◽  
Taylor’S Formula ◽  
The Difference ◽  
Taylor's Formula

A new extension of the weighted Montgomery identity is given, by using Taylor's formula, and used to obtain some Ostrowski type inequalities and the estimations of the difference of two integral means.

scholarly journals On some Ostrowski type inequalities via Montgomery identity and Taylor's formula II

2005 ◽  
Vol 36 (4) ◽  
pp. 279-301 ◽  
Author(s):  
A. Aglic Aljinovic ◽  
J. Pecaric ◽  
A. Vukelic
Keyword(s):  
Integral Means ◽  
Montgomery Identity ◽  
Taylor’S Formula ◽  
The Difference ◽  
Taylor's Formula

A new extension of the weighted Montgomery identity is given, by using Taylor's formula and used to obtain some Ostrowski type inequalities and estimations of the difference of two integral means.

ON AN INEQUALITY FOR DIVIDED DIFFERENCES

2008 ◽  
Vol 01 (01) ◽  
pp. 113-120 ◽  
Author(s):  
J. Pečarić ◽  
M. Rodić Lipanović
Keyword(s):  
Divided Differences ◽  
Integral Means ◽  
The Difference

The main purpose of this paper is to give the generalization and improvement of the result given in [2] on the inequality of the difference of two integral means which can also be represented as the difference of two divided differences.

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.

SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

2014 ◽  
Vol 90 (2) ◽  
pp. 264-274
Author(s):  
DAH-YAN HWANG ◽  
SILVESTRU SEVER DRAGOMIR
Keyword(s):  
Probability Density ◽  
Continuous Functions ◽  
Probability Density Functions ◽  
Density Functions ◽  
Absolutely Continuous Functions ◽  
Integral Means ◽  
Absolutely Continuous ◽  
Special Means ◽  
The Difference

AbstractSome better estimates for the difference between the integral mean of a function and its mean over a subinterval are established. Various applications for special means and probability density functions are also given.

scholarly journals Embeddings of Lorentz-type spaces involving weighted integral means

2017 ◽  
Vol 273 (9) ◽  
pp. 2939-2980 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Martin Křepela ◽  
Luboš Pick ◽  
Filip Soudský
Keyword(s):  
Integral Means ◽  
Weighted Integral ◽  
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