Sharpening hölder’s and popoviciu’s inequalities via functionals

S. Abramovich; J. Pečarić; S. Varošanec

doi:10.1216/rmjm/1181069827

Sharpening hölder’s and popoviciu’s inequalities via functionals

S. Abramovich
, J. Pečarić
, S. Varošanec

Department of Mathematics

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

Abstract

We prove some inequalities involving positive isotonic linear functionals which generalize Hölder’s inequality and its reverse version. We also sharpen Jensen’s inequalities for positive isotonic linear functionals.

Original language	English
Pages (from-to)	793-810
Number of pages	18
Journal	Rocky Mountain Journal of Mathematics
Volume	34
Issue number	3
DOIs	https://doi.org/10.1216/rmjm/1181069827
State	Published - 2004

Keywords

Concave function
Convex function
Hölder’s inequality
Jensen’s inequality
Popoviciu’s inequality
Positive isotonic linear functional

ASJC Scopus subject areas

General Mathematics

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10.1216/rmjm/1181069827

Cite this

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title = "Sharpening h{\"o}lder{\textquoteright}s and popoviciu{\textquoteright}s inequalities via functionals",

abstract = "We prove some inequalities involving positive isotonic linear functionals which generalize H{\"o}lder{\textquoteright}s inequality and its reverse version. We also sharpen Jensen{\textquoteright}s inequalities for positive isotonic linear functionals.",

keywords = "Concave function, Convex function, H{\"o}lder{\textquoteright}s inequality, Jensen{\textquoteright}s inequality, Popoviciu{\textquoteright}s inequality, Positive isotonic linear functional",

author = "S. Abramovich and J. Pe{\v c}ari{\'c} and S. Varo{\v s}anec",

year = "2004",

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pages = "793--810",

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T1 - Sharpening hölder’s and popoviciu’s inequalities via functionals

AU - Abramovich, S.

AU - Pečarić, J.

AU - Varošanec, S.

PY - 2004

Y1 - 2004

N2 - We prove some inequalities involving positive isotonic linear functionals which generalize Hölder’s inequality and its reverse version. We also sharpen Jensen’s inequalities for positive isotonic linear functionals.

AB - We prove some inequalities involving positive isotonic linear functionals which generalize Hölder’s inequality and its reverse version. We also sharpen Jensen’s inequalities for positive isotonic linear functionals.

KW - Concave function

KW - Convex function

KW - Hölder’s inequality

KW - Jensen’s inequality

KW - Popoviciu’s inequality

KW - Positive isotonic linear functional

UR - https://www.scopus.com/pages/publications/5644301231

U2 - 10.1216/rmjm/1181069827

DO - 10.1216/rmjm/1181069827

M3 - Article

AN - SCOPUS:5644301231

SN - 0035-7596

VL - 34

SP - 793

EP - 810

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 3

ER -

Sharpening hölder’s and popoviciu’s inequalities via functionals

Abstract

Keywords

ASJC Scopus subject areas

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