Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality. 2010 Mathematics subject classification: Primary 26D07; Secondary 33C10.

Bibliographic Details
Main Authors: Piyush Kumar Bhandari, S. K. Bissu
Format: Article
Language:English
Published: Faculty of Computer Science and Mathematics, University of Kufa 2018-05-01
Series:Journal of Kufa for Mathematics and Computer
Online Access:https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2093
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author Piyush Kumar Bhandari
S. K. Bissu
author_facet Piyush Kumar Bhandari
S. K. Bissu
author_sort Piyush Kumar Bhandari
collection DOAJ
description We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality. 2010 Mathematics subject classification: Primary 26D07; Secondary 33C10.
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spelling doaj.art-0098ab7362504d1a9a1e4c21f59eb75f2024-03-10T10:26:48ZengFaculty of Computer Science and Mathematics, University of KufaJournal of Kufa for Mathematics and Computer2076-11712518-00102018-05-015110.31642/JoKMC/2018/050105Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel FunctionsPiyush Kumar Bhandari0S. K. Bissu1Government College Ajmer, Ajmer, Rajasthan 305001, IndiaGovernment College Ajmer, Ajmer, Rajasthan 305001, IndiaWe establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality. 2010 Mathematics subject classification: Primary 26D07; Secondary 33C10.https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2093
spellingShingle Piyush Kumar Bhandari
S. K. Bissu
Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal of Kufa for Mathematics and Computer
title Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
title_full Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
title_fullStr Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
title_full_unstemmed Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
title_short Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
title_sort tura n type inequalities for bessel modified bessel and kr i tzel functions
url https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2093
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AT skbissu turantypeinequalitiesforbesselmodifiedbesselandkriˆtzelfunctions