Two-Point Ostrowski’s Inequality

2017 ◽  
Vol 72 (3) ◽  
pp. 1499-1523 ◽  
Author(s):  
Mohammad W. Alomari
Keyword(s):  
Ostrowski’S Inequality

Refinements of the majorization-type inequalities via green and fink identities and related results

2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Convex Functions ◽  
Type Inequality ◽  
Cauchy Type ◽  
Linear Functionals ◽  
Ostrowski’S Inequality ◽  
New Family ◽  
Exponentially Convex Functions ◽  
The Difference

Abstract In this work, the Green’s function of order two is used together with Fink’s approach in Ostrowski’s inequality to represent the difference between the sides of the Sherman’s inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking to the linear functionals associated with the obtained inequalities.

scholarly journals A Note on Ostrowski's Inequality

2001 ◽  
pp. 297-299
Author(s):  
Hrvoje Šikić ◽  
Tomislav Šikić
Keyword(s):  
Ostrowski’S Inequality

Generalizations of the Ostrowski’s inequality

2006 ◽  
Vol 9 (1) ◽  
pp. 49-60
Author(s):  
K. S. Anastasiou ◽  
Aristides I. Kechriniotis ◽  
B.A. Kotsos
Keyword(s):  
Ostrowski’S Inequality

scholarly journals Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)

2016 ◽  
Vol 54 (1) ◽  
pp. 119-138
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Bounded Variation ◽  
Continuous Functions ◽  
Absolutely Continuous Functions ◽  
Absolutely Continuous ◽  
Ostrowski’S Inequality

Abstract Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.

scholarly journals Some Refinements of Ostrowski’s Inequality and an Extension to a 2-Inner Product Space

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 707
Author(s):  
Nicuşor Minculete
Keyword(s):  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Grüss Inequality ◽  
Chebyshev Function ◽  
Ostrowski’S Inequality

The purpose of this paper is to prove certain refinements of Ostrowski’s inequality in an inner product space. We study extensions of Ostrowski type inequalities in a 2-inner product space. Finally, some applications which are related to the Chebyshev function and the Grüss inequality are presented.

scholarly journals Ostrowski's inequality for vector-valued functions and applications

2002 ◽  
Vol 44 (5-6) ◽  
pp. 559-572 ◽  
Author(s):  
N.S. Barnett ◽  
C. Buşe ◽  
P. Cerone ◽  
S.S. Dragomir
Keyword(s):  
Ostrowski’S Inequality ◽  
Vector Valued Functions ◽  
Vector Valued

scholarly journals A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

2016 ◽  
Vol 15 (1) ◽  
pp. 69-78 ◽  
Author(s):  
Mohammad W. Alomari
Keyword(s):  
Bounded Variation ◽  
Approximation Problem ◽  
Stieltjes Integral ◽  
Ostrowski’S Inequality

AbstractA sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral $\int_a^b {f(t)\;du(t)} $, where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.

scholarly journals Ostrowski's inequality in pre-Hilbert C✻-modules

2009 ◽  
pp. 217-226
Author(s):  
Ljilj na Arambašić ◽  
Rajna Rajić
Keyword(s):  
Ostrowski’S Inequality
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