New generalization of Gauss-Pólya's inequality

S. Abramovich; J. Pečarić; S. Varošanec

doi:10.7153/mia-01-32

New generalization of Gauss-Pólya's inequality

S. Abramovich
, J. Pečarić
, S. Varošanec

Department of Mathematics

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

Abstract

We consider inequality of Hölder's type (Formula Presented) and give a number of results about functions w₁, w₂, w₃ which satisfy the above-mentioned inequality. Also, in a similar way, we consider an inequality of Minkowski's type.

Original language	English
Pages (from-to)	331-342
Number of pages	12
Journal	Mathematical Inequalities and Applications
Volume	1
Issue number	3
DOIs	https://doi.org/10.7153/mia-01-32
State	Published - Jul 1998

Keywords

Convex function
Hölder's inequality
Left balanced function
Minkowski's inequality
Right balanced function

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-01-32

Cite this

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title = "New generalization of Gauss-P{\'o}lya's inequality",

abstract = "We consider inequality of H{\"o}lder's type (Formula Presented) and give a number of results about functions w1, w2, w3 which satisfy the above-mentioned inequality. Also, in a similar way, we consider an inequality of Minkowski's type.",

keywords = "Convex function, H{\"o}lder's inequality, Left balanced function, Minkowski's inequality, Right balanced function",

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

year = "1998",

month = jul,

doi = "10.7153/mia-01-32",

language = "English",

volume = "1",

pages = "331--342",

journal = "Mathematical Inequalities and Applications",

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T1 - New generalization of Gauss-Pólya's inequality

AU - Abramovich, S.

AU - Pečarić, J.

AU - Varošanec, S.

PY - 1998/7

Y1 - 1998/7

N2 - We consider inequality of Hölder's type (Formula Presented) and give a number of results about functions w1, w2, w3 which satisfy the above-mentioned inequality. Also, in a similar way, we consider an inequality of Minkowski's type.

AB - We consider inequality of Hölder's type (Formula Presented) and give a number of results about functions w1, w2, w3 which satisfy the above-mentioned inequality. Also, in a similar way, we consider an inequality of Minkowski's type.

KW - Convex function

KW - Hölder's inequality

KW - Left balanced function

KW - Minkowski's inequality

KW - Right balanced function

UR - https://www.scopus.com/pages/publications/3242785432

U2 - 10.7153/mia-01-32

DO - 10.7153/mia-01-32

M3 - Article

AN - SCOPUS:3242785432

SN - 1331-4343

VL - 1

SP - 331

EP - 342

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

New generalization of Gauss-Pólya's inequality

Abstract

Keywords

ASJC Scopus subject areas

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