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Refinements of the Ostrowski inequality in terms of the cumulative variation and applications
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Sever S. Dragomir
Published/Copyright:
May 28, 2014
Abstract
Refinements of the Ostrowski inequality for functions of bounded variation in terms of the cumulative variation function are given. Applications for selfadjoint operators on complex Hilbert spaces are also provided.
Keywords: Ostrowski's inequality; functions of bounded variation; cumulative variation; selfadjoint operators
Received: 2014-2-25
Accepted: 2014-4-4
Published Online: 2014-5-28
Published in Print: 2014-6-28
©2014 Walter de Gruyter Berlin/Boston
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- Pseudo-orthants as a generalisation of orthants
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Keywords for this article
Ostrowski's inequality;
functions of bounded variation;
cumulative variation;
selfadjoint operators
Articles in the same Issue
- Frontmatter
- Pseudo-orthants as a generalisation of orthants
- Uniqueness of meromorphic functions sharing three sets – Further study
- Radius problems associated with pre-Schwarzian and Schwarzian derivatives
- Entire functions sharing certain values with their derivatives
- Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
- Local separability property for Reifenberg sets in parabolic space
- Sharp inequalities for the psi function and harmonic numbers
- Evolution of open elastic curves in ℝn subject to fixed length and natural boundary conditions
- Refinements of the Ostrowski inequality in terms of the cumulative variation and applications
- Erratum to Analysis 34(1), pg. 81–109
- 10.1515/anly-2014-0002
