Some new estimates of the ‘Jensen gap’

Shoshana Abramovich; Lars Erik Persson

doi:10.1186/s13660-016-0985-4

Some new estimates of the ‘Jensen gap’

Shoshana Abramovich
, Lars Erik Persson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let (Formula presented.) be a probability measure space. We consider the so-called (Formula presented.) for some classes of functions φ. Several new estimates and equalities are derived and compared with other results of this type. Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.

Original language	English
Article number	39
Pages (from-to)	1-9
Number of pages	9
Journal	Journal of Inequalities and Applications
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-0985-4
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Abramovich and Persson.

Keywords

Jensen’s inequality
Taylor expansion
convex function
superquadratic functions
γ-superconvex functions

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-016-0985-4

Cite this

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abstract = "Let (Formula presented.) be a probability measure space. We consider the so-called (Formula presented.) for some classes of functions φ. Several new estimates and equalities are derived and compared with other results of this type. Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.",

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AB - Let (Formula presented.) be a probability measure space. We consider the so-called (Formula presented.) for some classes of functions φ. Several new estimates and equalities are derived and compared with other results of this type. Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.

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KW - γ-superconvex functions

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Some new estimates of the ‘Jensen gap’

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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