Jensen Functionals on Time Scales for Several Variables-Reference-Cited by-同舟云学术

Jensen Functionals on Time Scales for Several Variables

Published:2014-04-10 Issue: Volume:2014 Page:1-14
ISSN:2314-498X
Container-title:International Journal of Analysis
language:en
Short-container-title:International Journal of Analysis

Author:

Anwar Matloob¹^ORCID,Bibi Rabia¹^ORCID,Bohner Martin²,Pečarić Josip³

Affiliation:

1. School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan

2. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA

3. Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

Abstract

We define Jensen functionals and concerned generalized means for several variables on time scales. We derive properties of Jensen functionals and apply them to generalized means. In this setting, we obtain generalizations, refinements, and conversions of many remarkable inequalities.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/126797.pdf

Reference18 articles.

1. Diamond- Jensen's Inequality on Time Scales

2. Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals

3. Jensen's Functionals on Time Scales

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multivariate Opial-type Inequalities on Time Scales;Earthline Journal of Mathematical Sciences;2023-01-27

2. On innovations of the multivariable fractional Hardy-type inequalities on time scales;Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi;2023

3. Estimation of divergence measures via weighted Jensen inequality on time scales;Journal of Inequalities and Applications;2021-05-28

4. Multidimensional Hardy-type inequalities on time scales with variable exponents;Journal of Mathematical Inequalities;2019

5. Hardy-Knopp Type Inequalities;Hardy Type Inequalities on Time Scales;2016