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Báo cáo toán học: " A generalized Hyers-Ulam stability of a Pexiderized logarithmic functional equation in restricted domains"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: A generalized Hyers-Ulam stability of a Pexiderized logarithmic functional equation in restricted domains | Journal of Inequalities and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. A generalized Hyers-Ulam stability of a Pexiderized logarithmic functional equation in restricted domains Journal of Inequalities and Applications 2012 2012 15 doi 10.1186 1029-242X-2012-15 Jae-Young Chung jychung@kunsan.ac.kr ISSN 1029-242X Article type Research Submission date 9 May 2011 Acceptance date 19 January 2012 Publication date 19 January 2012 Article URL http www.iournalofinequalitiesandapplications.com content 2012 1 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Journal of Inequalities and Applications go to http www.journalofinequalitiesandapplications.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Chung licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. A generalized Hyers Ulam stability of a Pexiderized logarithmic functional equation in restricted domains Jae-Young Chung Department of Mathematics Kunsan National University Kunsan 573-701 Republic of Korea Email address jychung@kunsan.ac.kr Abstract Let R- and B be the set of positive real numbers and a Banach space respectively f g h R- B and à R R be a nonnegative function of some special forms. Generalizing the stability theorem for a Jensen-type logarithmic functional equation we prove the Hyers Ulam stability of the Pexiderized logarithmic functional inequality llf xy - g x - h y ll à x y in restricted domains of the form