About some exponential inequalities related to the sinc function

Abstract In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.

Bibliographic Details
Main Authors: Marija Rašajski, Tatjana Lutovac, Branko Malešević
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1740-9
_version_ 1818991317559017472
author Marija Rašajski
Tatjana Lutovac
Branko Malešević
author_facet Marija Rašajski
Tatjana Lutovac
Branko Malešević
author_sort Marija Rašajski
collection DOAJ
description Abstract In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.
first_indexed 2024-12-20T20:08:21Z
format Article
id doaj.art-eabcc6582a1342f9aac90ab820427982
institution Directory Open Access Journal
issn 1029-242X
language English
last_indexed 2024-12-20T20:08:21Z
publishDate 2018-06-01
publisher SpringerOpen
record_format Article
series Journal of Inequalities and Applications
spelling doaj.art-eabcc6582a1342f9aac90ab8204279822022-12-21T19:27:54ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-06-012018111010.1186/s13660-018-1740-9About some exponential inequalities related to the sinc functionMarija Rašajski0Tatjana Lutovac1Branko Malešević2School of Electrical Engineering, University of BelgradeSchool of Electrical Engineering, University of BelgradeSchool of Electrical Engineering, University of BelgradeAbstract In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.http://link.springer.com/article/10.1186/s13660-018-1740-9Exponential inequalitiessinc function
spellingShingle Marija Rašajski
Tatjana Lutovac
Branko Malešević
About some exponential inequalities related to the sinc function
Journal of Inequalities and Applications
Exponential inequalities
sinc function
title About some exponential inequalities related to the sinc function
title_full About some exponential inequalities related to the sinc function
title_fullStr About some exponential inequalities related to the sinc function
title_full_unstemmed About some exponential inequalities related to the sinc function
title_short About some exponential inequalities related to the sinc function
title_sort about some exponential inequalities related to the sinc function
topic Exponential inequalities
sinc function
url http://link.springer.com/article/10.1186/s13660-018-1740-9
work_keys_str_mv AT marijarasajski aboutsomeexponentialinequalitiesrelatedtothesincfunction
AT tatjanalutovac aboutsomeexponentialinequalitiesrelatedtothesincfunction
AT brankomalesevic aboutsomeexponentialinequalitiesrelatedtothesincfunction