trapezoid inequality
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2018 ◽  
Vol 25 (1) ◽  
pp. 47-64 ◽  
Author(s):  
Wenjun Liu ◽  
Heng Zhang

AbstractIn this paper, we first establish some refinements of the weighted generalized trapezoid inequality for functions of bounded variation in terms of a cumulative variation function, and then obtain some perturbed versions of the weighted generalized trapezoid inequality. Several applications for selfadjoint operators on complex Hilbert spaces are also given.


2015 ◽  
Vol 43 (4) ◽  
pp. 663-675
Author(s):  
Silvestru S. Dragomir
Keyword(s):  

2003 ◽  
Vol 34 (3) ◽  
pp. 213-222 ◽  
Author(s):  
S. S. Dragomir

In this paper improvements of the Ostrowski and generalised Trapezoid inequalities are found in terms of the upper and lower bounds of the first derivative.


2003 ◽  
Vol 44 (3) ◽  
pp. 355-364 ◽  
Author(s):  
N. S. Barnett ◽  
S. S. Dragomir ◽  
C. E. M. Pearce

AbstractA quasi-trapezoid inequality is derived for double integrals that strengthens considerably existing results. A consonant version of the Grüss inequality is also derived. Applications are made to cubature formulæ and the error variance of a stationary variogram.


2000 ◽  
Vol 31 (3) ◽  
pp. 193-202
Author(s):  
S. S. Dragomir ◽  
A. Mcandrew

In this paper, we point out a Gr"uss type inequality and apply it for special means (logarithmic mean, identric mean etc ...) and in Numerical analysis in connection with the classical trapezoid formula.


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