CONTINUOUS SYMMETRIZATION AND CONTINUOUS INCREASING REFINEMENTS OF INEQUALITIES AND MONOTONICITY OF EIGENVALUES

Shoshana Abramovich

doi:10.7153/mia-2023-26-50

CONTINUOUS SYMMETRIZATION AND CONTINUOUS INCREASING REFINEMENTS OF INEQUALITIES AND MONOTONICITY OF EIGENVALUES

Shoshana Abramovich

Department of Mathematics

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

Abstract

Continuous symmetrization process and continuous increasing process are the tools used in this paper to refine Clausing inequality and Slater-Pečarić inequality. Also, we note on the monotonicity of the first eigenvalue of a Sturm-Liouville system.

Original language	English
Pages (from-to)	827-839
Number of pages	13
Journal	Mathematical Inequalities and Applications
Volume	26
Issue number	4
DOIs	https://doi.org/10.7153/mia-2023-26-50
State	Published - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023 Element D.O.O.. All rights reserved.

Keywords

Clausing inequality
Concave functions
Slater-Pečarić inequalities
Sturm-Liouville system’s eigenvalues
continuous symmetrization
equimeasurable functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-2023-26-50

Cite this

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title = "CONTINUOUS SYMMETRIZATION AND CONTINUOUS INCREASING REFINEMENTS OF INEQUALITIES AND MONOTONICITY OF EIGENVALUES",

abstract = "Continuous symmetrization process and continuous increasing process are the tools used in this paper to refine Clausing inequality and Slater-Pe{\v c}ari{\'c} inequality. Also, we note on the monotonicity of the first eigenvalue of a Sturm-Liouville system.",

keywords = "Clausing inequality, Concave functions, Slater-Pe{\v c}ari{\'c} inequalities, Sturm-Liouville system{\textquoteright}s eigenvalues, continuous symmetrization, equimeasurable functions",

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year = "2023",

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N2 - Continuous symmetrization process and continuous increasing process are the tools used in this paper to refine Clausing inequality and Slater-Pečarić inequality. Also, we note on the monotonicity of the first eigenvalue of a Sturm-Liouville system.

AB - Continuous symmetrization process and continuous increasing process are the tools used in this paper to refine Clausing inequality and Slater-Pečarić inequality. Also, we note on the monotonicity of the first eigenvalue of a Sturm-Liouville system.

KW - Clausing inequality

KW - Concave functions

KW - Slater-Pečarić inequalities

KW - Sturm-Liouville system’s eigenvalues

KW - continuous symmetrization

KW - equimeasurable functions

UR - https://www.scopus.com/pages/publications/105010972842

U2 - 10.7153/mia-2023-26-50

DO - 10.7153/mia-2023-26-50

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VL - 26

SP - 827

EP - 839

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 4

ER -

CONTINUOUS SYMMETRIZATION AND CONTINUOUS INCREASING REFINEMENTS OF INEQUALITIES AND MONOTONICITY OF EIGENVALUES

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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