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Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form

We prove the conjecture for the non-integer part of a nonlinear differential form representing primes presented in (Lai in J. Inequal. Appl. 2015:Article ID 357, 2015) by using Tumura-Clunie type inequalities. Compared with the original proof, the new one is simpler and more easily understood. Simil...

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Autor principal: Chen, Mei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5557872/
https://www.ncbi.nlm.nih.gov/pubmed/28860690
http://dx.doi.org/10.1186/s13660-017-1463-3
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author Chen, Mei
author_facet Chen, Mei
author_sort Chen, Mei
collection PubMed
description We prove the conjecture for the non-integer part of a nonlinear differential form representing primes presented in (Lai in J. Inequal. Appl. 2015:Article ID 357, 2015) by using Tumura-Clunie type inequalities. Compared with the original proof, the new one is simpler and more easily understood. Similar problems can be treated with the same procedure.
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spelling pubmed-55578722017-08-29 Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form Chen, Mei J Inequal Appl Research We prove the conjecture for the non-integer part of a nonlinear differential form representing primes presented in (Lai in J. Inequal. Appl. 2015:Article ID 357, 2015) by using Tumura-Clunie type inequalities. Compared with the original proof, the new one is simpler and more easily understood. Similar problems can be treated with the same procedure. Springer International Publishing 2017-08-15 2017 /pmc/articles/PMC5557872/ /pubmed/28860690 http://dx.doi.org/10.1186/s13660-017-1463-3 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Chen, Mei
Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title_full Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title_fullStr Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title_full_unstemmed Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title_short Proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
title_sort proofs to one inequality conjecture for the non-integer part of a nonlinear differential form
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5557872/
https://www.ncbi.nlm.nih.gov/pubmed/28860690
http://dx.doi.org/10.1186/s13660-017-1463-3
work_keys_str_mv AT chenmei proofstooneinequalityconjectureforthenonintegerpartofanonlineardifferentialform