INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Similar inequalities are given also for the p-analogues...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2013-01-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/files/pdf/2322_en.pdf |
| _version_ | 1819119329248018432 |
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| author | VUORINEN M BHAYO B. A |
| author_facet | VUORINEN M BHAYO B. A |
| author_sort | VUORINEN M |
| collection | DOAJ |
| description | Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Similar inequalities are given also for the p-analogues of the hyperbolic functions and their inverses. |
| first_indexed | 2024-12-22T06:03:02Z |
| format | Article |
| id | doaj.art-92c485f639a74487b37dece686bcc05c |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-22T06:03:02Z |
| publishDate | 2013-01-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-92c485f639a74487b37dece686bcc05c2022-12-21T18:36:29ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322013-01-012 (20)11437INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIANVUORINEN MBHAYO B. AMotivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Similar inequalities are given also for the p-analogues of the hyperbolic functions and their inverses.http://issuesofanalysis.petrsu.ru/files/pdf/2322_en.pdfEIGENFUNCTIONS OF P-LAPLACIANSIN(P)GENERALIZED TRIGONOMETRIC FUNCTION |
| spellingShingle | VUORINEN M BHAYO B. A INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN Проблемы анализа EIGENFUNCTIONS OF P-LAPLACIAN SIN(P) GENERALIZED TRIGONOMETRIC FUNCTION |
| title | INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN |
| title_full | INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN |
| title_fullStr | INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN |
| title_full_unstemmed | INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN |
| title_short | INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN |
| title_sort | inequalities for eigenfunctions of the p laplacian |
| topic | EIGENFUNCTIONS OF P-LAPLACIAN SIN(P) GENERALIZED TRIGONOMETRIC FUNCTION |
| url | http://issuesofanalysis.petrsu.ru/files/pdf/2322_en.pdf |
| work_keys_str_mv | AT vuorinenm inequalitiesforeigenfunctionsoftheplaplacian AT bhayoba inequalitiesforeigenfunctionsoftheplaplacian |