GENERALIZED VERSIONS OF REVERSE YOUNG INEQUALITIES

dc.contributor.author	Gümüş, İbrahim Halil
dc.date.accessioned	2025-12-15T11:24:26Z
dc.date.available	2025-12-15T11:24:26Z
dc.date.issued	2021
dc.identifier.issn	0002-9939
dc.identifier.uri	http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/6977
dc.description.abstract	In this note, we obtain generalized versions of reverse Young inequalities as follows: For a(1), a(2), ... , a(n) is an element of [m, M] with M >= m > 0 v(1)a(1) + v(2)a(2) + ... + v(n)a(n) <= S (M/m) a(1)(v1)a(2)(v2) ... a(n)(vn) and v(1)a(1) + v(2)a(2) + ... + v(n)a(n) <= max(ai is an element of[m, M]) S(a(i)/a(j)) L(a(i), a(j)) + a(1)(v1)a(2)(v2) ... a(n)(vn) where S(.) is Specht's ratio, L (a(i), a(j)) is logarithmic mean and v(i) is an element of [0,1] such that v(1) + v(2) + ... + v(n) = 1. Unlike the proof methods used in the articles on Young's inequality, the proofs of this study are obtained through first order conditions for constrained optimization problems.	tr
dc.language.iso	en	tr
dc.publisher	AMER MATHEMATICAL SOC	tr
dc.subject	Specht's ratio	tr
dc.subject	Young's inequality	tr
dc.subject	KKT conditions	tr
dc.title	GENERALIZED VERSIONS OF REVERSE YOUNG INEQUALITIES	tr
dc.type	Article	tr
dc.contributor.authorID	0000-0002-3071-1159	tr
dc.contributor.department	Adiyaman Univ, Fac Arts & Sci, Dept Math	tr
dc.identifier.endpage	4377	tr
dc.identifier.issue	10	tr
dc.identifier.startpage	4371	tr
dc.identifier.volume	149	tr
dc.source.title	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY	tr