GeneralizednDimensional Ostrowski Type and Grüss Type Inequalities on Time Scales-Reference-Cited by-同舟云学术

GeneralizednDimensional Ostrowski Type and Grüss Type Inequalities on Time Scales

Published:2014 Issue: Volume:2014 Page:1-11
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zheng Bin¹^ORCID,Feng Qinghua¹^ORCID

Affiliation:

1. School of Science, Shandong University of Technology, Zibo, Shandong 255049, China

Abstract

Some new generalizedndimensional Ostrowski type and Grüss type integral inequalities on time scales are established in this paper. The present results unify continuous and discrete analysis, and extend some known results in the literature.

Funder

Natural Science Foundation of Shandong Province

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/434958.pdf

Reference26 articles.

1. �ber die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert

2. �ber das Maximum des absoluten Betrages von $$\frac{1}{{b - a}}\int\limits_a^b {f\left( x \right)} g\left( x \right)dx - \frac{1}{{\left( {b - a} \right)^2 }}\int\limits_a^b {f\left( x \right)dx} \int\limits_a^b g \left( x \right)dx$$

3. On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation

4. An inequality for monotonic functions generalizing Ostrowski and related results

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